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Finding the Fourth Proportional to 928.32, 1,281 and 578.88

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Solution

The fourth proportional to 928.32, 1,281 and 578.88 is: 798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.32 : 1,281 = 578.88 : x
  2. Step 2: Convert to fraction form
    928.32/1,281 = 578.88/x
  3. Step 3: Cross multiply
    928.32x = 1,281 × 578.88
  4. Step 4: Simplify right side
    928.32x = 741,545.28
  5. Step 5: Solve for x
    x = 741,545.28/928.32
  6. Step 6: Final answer
    x = 798.80

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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.