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Finding the Fourth Proportional to 928.64, 1,387.19 and 746.39

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Solution

The fourth proportional to 928.64, 1,387.19 and 746.39 is: 1,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.64 : 1,387.19 = 746.39 : x
  2. Step 2: Convert to fraction form
    928.64/1,387.19 = 746.39/x
  3. Step 3: Cross multiply
    928.64x = 1,387.19 × 746.39
  4. Step 4: Simplify right side
    928.64x = 1,035,374.08
  5. Step 5: Solve for x
    x = 1,035,374.08/928.64
  6. Step 6: Final answer
    x = 1,114.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.