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Finding the Fourth Proportional to 928.68, 1,281.26 and 762.86

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Solution

The fourth proportional to 928.68, 1,281.26 and 762.86 is: 1,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.68 : 1,281.26 = 762.86 : x
  2. Step 2: Convert to fraction form
    928.68/1,281.26 = 762.86/x
  3. Step 3: Cross multiply
    928.68x = 1,281.26 × 762.86
  4. Step 4: Simplify right side
    928.68x = 977,422.00
  5. Step 5: Solve for x
    x = 977,422.00/928.68
  6. Step 6: Final answer
    x = 1,052.49

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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.