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Finding the Fourth Proportional to 502.50, 750.84 and 398.70

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Solution

The fourth proportional to 502.50, 750.84 and 398.70 is: 595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.50 : 750.84 = 398.70 : x
  2. Step 2: Convert to fraction form
    502.50/750.84 = 398.70/x
  3. Step 3: Cross multiply
    502.50x = 750.84 × 398.70
  4. Step 4: Simplify right side
    502.50x = 299,360.78
  5. Step 5: Solve for x
    x = 299,360.78/502.50
  6. Step 6: Final answer
    x = 595.75

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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.