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Finding the Fourth Proportional to 830.49, 1,245.72 and 460.52

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Solution

The fourth proportional to 830.49, 1,245.72 and 460.52 is: 690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.49 : 1,245.72 = 460.52 : x
  2. Step 2: Convert to fraction form
    830.49/1,245.72 = 460.52/x
  3. Step 3: Cross multiply
    830.49x = 1,245.72 × 460.52
  4. Step 4: Simplify right side
    830.49x = 573,679.14
  5. Step 5: Solve for x
    x = 573,679.14/830.49
  6. Step 6: Final answer
    x = 690.78

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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.