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Finding the Fourth Proportional to 1,019.12, 1,528.74 and 499.55

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Solution

The fourth proportional to 1,019.12, 1,528.74 and 499.55 is: 749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.12 : 1,528.74 = 499.55 : x
  2. Step 2: Convert to fraction form
    1,019.12/1,528.74 = 499.55/x
  3. Step 3: Cross multiply
    1,019.12x = 1,528.74 × 499.55
  4. Step 4: Simplify right side
    1,019.12x = 763,674.42
  5. Step 5: Solve for x
    x = 763,674.42/1,019.12
  6. Step 6: Final answer
    x = 749.35

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Double scale
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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.