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Finding the Fourth Proportional to 917.96, 1,374.78 and 724.28

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Solution

The fourth proportional to 917.96, 1,374.78 and 724.28 is: 1,084.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.96 : 1,374.78 = 724.28 : x
  2. Step 2: Convert to fraction form
    917.96/1,374.78 = 724.28/x
  3. Step 3: Cross multiply
    917.96x = 1,374.78 × 724.28
  4. Step 4: Simplify right side
    917.96x = 995,725.66
  5. Step 5: Solve for x
    x = 995,725.66/917.96
  6. Step 6: Final answer
    x = 1,084.72

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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.