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Finding the Fourth Proportional to 962.23, 1,327.70 and 542.59

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Solution

The fourth proportional to 962.23, 1,327.70 and 542.59 is: 748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.23 : 1,327.70 = 542.59 : x
  2. Step 2: Convert to fraction form
    962.23/1,327.70 = 542.59/x
  3. Step 3: Cross multiply
    962.23x = 1,327.70 × 542.59
  4. Step 4: Simplify right side
    962.23x = 720,396.74
  5. Step 5: Solve for x
    x = 720,396.74/962.23
  6. Step 6: Final answer
    x = 748.67

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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.