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Finding the Fourth Proportional to 534.34, 735.90 and 468.73

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Solution

The fourth proportional to 534.34, 735.90 and 468.73 is: 645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.34 : 735.90 = 468.73 : x
  2. Step 2: Convert to fraction form
    534.34/735.90 = 468.73/x
  3. Step 3: Cross multiply
    534.34x = 735.90 × 468.73
  4. Step 4: Simplify right side
    534.34x = 344,938.41
  5. Step 5: Solve for x
    x = 344,938.41/534.34
  6. Step 6: Final answer
    x = 645.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.