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Finding the Fourth Proportional to 502.46, 750.35 and 497.03

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Solution

The fourth proportional to 502.46, 750.35 and 497.03 is: 742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.46 : 750.35 = 497.03 : x
  2. Step 2: Convert to fraction form
    502.46/750.35 = 497.03/x
  3. Step 3: Cross multiply
    502.46x = 750.35 × 497.03
  4. Step 4: Simplify right side
    502.46x = 372,946.46
  5. Step 5: Solve for x
    x = 372,946.46/502.46
  6. Step 6: Final answer
    x = 742.24

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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.