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Finding the Fourth Proportional to 731.90, 1,095.80 and 487.96

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Solution

The fourth proportional to 731.90, 1,095.80 and 487.96 is: 730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.90 : 1,095.80 = 487.96 : x
  2. Step 2: Convert to fraction form
    731.90/1,095.80 = 487.96/x
  3. Step 3: Cross multiply
    731.90x = 1,095.80 × 487.96
  4. Step 4: Simplify right side
    731.90x = 534,701.39
  5. Step 5: Solve for x
    x = 534,701.39/731.90
  6. Step 6: Final answer
    x = 730.56

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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.