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Finding the Fourth Proportional to 925.15, 1,385.70 and 491.80

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Solution

The fourth proportional to 925.15, 1,385.70 and 491.80 is: 736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.15 : 1,385.70 = 491.80 : x
  2. Step 2: Convert to fraction form
    925.15/1,385.70 = 491.80/x
  3. Step 3: Cross multiply
    925.15x = 1,385.70 × 491.80
  4. Step 4: Simplify right side
    925.15x = 681,487.26
  5. Step 5: Solve for x
    x = 681,487.26/925.15
  6. Step 6: Final answer
    x = 736.62

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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.