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Finding the Fourth Proportional to 502.80, 753.48 and 381.18

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Solution

The fourth proportional to 502.80, 753.48 and 381.18 is: 571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.80 : 753.48 = 381.18 : x
  2. Step 2: Convert to fraction form
    502.80/753.48 = 381.18/x
  3. Step 3: Cross multiply
    502.80x = 753.48 × 381.18
  4. Step 4: Simplify right side
    502.80x = 287,211.51
  5. Step 5: Solve for x
    x = 287,211.51/502.80
  6. Step 6: Final answer
    x = 571.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.