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Finding the Fourth Proportional to 1,500.50, 2,250.74 and 460.49

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Solution

The fourth proportional to 1,500.50, 2,250.74 and 460.49 is: 690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.50 : 2,250.74 = 460.49 : x
  2. Step 2: Convert to fraction form
    1,500.50/2,250.74 = 460.49/x
  3. Step 3: Cross multiply
    1,500.50x = 2,250.74 × 460.49
  4. Step 4: Simplify right side
    1,500.50x = 1,036,433.16
  5. Step 5: Solve for x
    x = 1,036,433.16/1,500.50
  6. Step 6: Final answer
    x = 690.72

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.