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Finding the Fourth Proportional to 501.88, 753.56 and 438.52

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Solution

The fourth proportional to 501.88, 753.56 and 438.52 is: 658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.88 : 753.56 = 438.52 : x
  2. Step 2: Convert to fraction form
    501.88/753.56 = 438.52/x
  3. Step 3: Cross multiply
    501.88x = 753.56 × 438.52
  4. Step 4: Simplify right side
    501.88x = 330,451.13
  5. Step 5: Solve for x
    x = 330,451.13/501.88
  6. Step 6: Final answer
    x = 658.43

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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.