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Finding the Fourth Proportional to 502.02, 691.98 and 500.40

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Solution

The fourth proportional to 502.02, 691.98 and 500.40 is: 689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.02 : 691.98 = 500.40 : x
  2. Step 2: Convert to fraction form
    502.02/691.98 = 500.40/x
  3. Step 3: Cross multiply
    502.02x = 691.98 × 500.40
  4. Step 4: Simplify right side
    502.02x = 346,266.79
  5. Step 5: Solve for x
    x = 346,266.79/502.02
  6. Step 6: Final answer
    x = 689.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.