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Finding the Fourth Proportional to 502.84, 750.87 and 497.48

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Solution

The fourth proportional to 502.84, 750.87 and 497.48 is: 742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.84 : 750.87 = 497.48 : x
  2. Step 2: Convert to fraction form
    502.84/750.87 = 497.48/x
  3. Step 3: Cross multiply
    502.84x = 750.87 × 497.48
  4. Step 4: Simplify right side
    502.84x = 373,542.81
  5. Step 5: Solve for x
    x = 373,542.81/502.84
  6. Step 6: Final answer
    x = 742.87

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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.