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Finding the Fourth Proportional to 928.89, 1,390.86 and 767.31

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Solution

The fourth proportional to 928.89, 1,390.86 and 767.31 is: 1,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.89 : 1,390.86 = 767.31 : x
  2. Step 2: Convert to fraction form
    928.89/1,390.86 = 767.31/x
  3. Step 3: Cross multiply
    928.89x = 1,390.86 × 767.31
  4. Step 4: Simplify right side
    928.89x = 1,067,220.79
  5. Step 5: Solve for x
    x = 1,067,220.79/928.89
  6. Step 6: Final answer
    x = 1,148.92

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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.