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Finding the Fourth Proportional to 928.11, 1,281.92 and 734.19

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Solution

The fourth proportional to 928.11, 1,281.92 and 734.19 is: 1,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.11 : 1,281.92 = 734.19 : x
  2. Step 2: Convert to fraction form
    928.11/1,281.92 = 734.19/x
  3. Step 3: Cross multiply
    928.11x = 1,281.92 × 734.19
  4. Step 4: Simplify right side
    928.11x = 941,169.17
  5. Step 5: Solve for x
    x = 941,169.17/928.11
  6. Step 6: Final answer
    x = 1,014.07

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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.