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Finding the Fourth Proportional to 698.98, 962.52 and 502.15

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Solution

The fourth proportional to 698.98, 962.52 and 502.15 is: 691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.98 : 962.52 = 502.15 : x
  2. Step 2: Convert to fraction form
    698.98/962.52 = 502.15/x
  3. Step 3: Cross multiply
    698.98x = 962.52 × 502.15
  4. Step 4: Simplify right side
    698.98x = 483,329.42
  5. Step 5: Solve for x
    x = 483,329.42/698.98
  6. Step 6: Final answer
    x = 691.48

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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.