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Finding the Fourth Proportional to 932.59, 1,398.78 and 493.67

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Solution

The fourth proportional to 932.59, 1,398.78 and 493.67 is: 740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.59 : 1,398.78 = 493.67 : x
  2. Step 2: Convert to fraction form
    932.59/1,398.78 = 493.67/x
  3. Step 3: Cross multiply
    932.59x = 1,398.78 × 493.67
  4. Step 4: Simplify right side
    932.59x = 690,539.22
  5. Step 5: Solve for x
    x = 690,539.22/932.59
  6. Step 6: Final answer
    x = 740.45

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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.