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Finding the Fourth Proportional to 927.57, 1,281.30 and 742.39

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Solution

The fourth proportional to 927.57, 1,281.30 and 742.39 is: 1,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.57 : 1,281.30 = 742.39 : x
  2. Step 2: Convert to fraction form
    927.57/1,281.30 = 742.39/x
  3. Step 3: Cross multiply
    927.57x = 1,281.30 × 742.39
  4. Step 4: Simplify right side
    927.57x = 951,221.10
  5. Step 5: Solve for x
    x = 951,221.10/927.57
  6. Step 6: Final answer
    x = 1,025.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.