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Finding the Fourth Proportional to 502.29, 747.47 and 482.85

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Solution

The fourth proportional to 502.29, 747.47 and 482.85 is: 718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.29 : 747.47 = 482.85 : x
  2. Step 2: Convert to fraction form
    502.29/747.47 = 482.85/x
  3. Step 3: Cross multiply
    502.29x = 747.47 × 482.85
  4. Step 4: Simplify right side
    502.29x = 360,917.10
  5. Step 5: Solve for x
    x = 360,917.10/502.29
  6. Step 6: Final answer
    x = 718.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.