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Finding the Fourth Proportional to 731.18, 1,095.86 and 314.28

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Solution

The fourth proportional to 731.18, 1,095.86 and 314.28 is: 471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.18 : 1,095.86 = 314.28 : x
  2. Step 2: Convert to fraction form
    731.18/1,095.86 = 314.28/x
  3. Step 3: Cross multiply
    731.18x = 1,095.86 × 314.28
  4. Step 4: Simplify right side
    731.18x = 344,407.67
  5. Step 5: Solve for x
    x = 344,407.67/731.18
  6. Step 6: Final answer
    x = 471.03

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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.