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Finding the Fourth Proportional to 500.52, 753.69 and 371.42

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Solution

The fourth proportional to 500.52, 753.69 and 371.42 is: 559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.52 : 753.69 = 371.42 : x
  2. Step 2: Convert to fraction form
    500.52/753.69 = 371.42/x
  3. Step 3: Cross multiply
    500.52x = 753.69 × 371.42
  4. Step 4: Simplify right side
    500.52x = 279,935.54
  5. Step 5: Solve for x
    x = 279,935.54/500.52
  6. Step 6: Final answer
    x = 559.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.