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Finding the Fourth Proportional to 731.58, 1,095.45 and 560.70

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Solution

The fourth proportional to 731.58, 1,095.45 and 560.70 is: 839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.58 : 1,095.45 = 560.70 : x
  2. Step 2: Convert to fraction form
    731.58/1,095.45 = 560.70/x
  3. Step 3: Cross multiply
    731.58x = 1,095.45 × 560.70
  4. Step 4: Simplify right side
    731.58x = 614,218.82
  5. Step 5: Solve for x
    x = 614,218.82/731.58
  6. Step 6: Final answer
    x = 839.58

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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.