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Finding the Fourth Proportional to 502.16, 690.36 and 499.04

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Solution

The fourth proportional to 502.16, 690.36 and 499.04 is: 686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.16 : 690.36 = 499.04 : x
  2. Step 2: Convert to fraction form
    502.16/690.36 = 499.04/x
  3. Step 3: Cross multiply
    502.16x = 690.36 × 499.04
  4. Step 4: Simplify right side
    502.16x = 344,517.25
  5. Step 5: Solve for x
    x = 344,517.25/502.16
  6. Step 6: Final answer
    x = 686.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.