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Finding the Fourth Proportional to 502, 750.97 and 425.13

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Solution

The fourth proportional to 502, 750.97 and 425.13 is: 635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    502 : 750.97 = 425.13 : x
  2. Step 2: Convert to fraction form
    502/750.97 = 425.13/x
  3. Step 3: Cross multiply
    502x = 750.97 × 425.13
  4. Step 4: Simplify right side
    502x = 319,259.88
  5. Step 5: Solve for x
    x = 319,259.88/502
  6. Step 6: Final answer
    x = 635.98

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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.