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Finding the Fourth Proportional to 928.80, 1,282.20 and 635.60

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Solution

The fourth proportional to 928.80, 1,282.20 and 635.60 is: 877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.80 : 1,282.20 = 635.60 : x
  2. Step 2: Convert to fraction form
    928.80/1,282.20 = 635.60/x
  3. Step 3: Cross multiply
    928.80x = 1,282.20 × 635.60
  4. Step 4: Simplify right side
    928.80x = 814,966.32
  5. Step 5: Solve for x
    x = 814,966.32/928.80
  6. Step 6: Final answer
    x = 877.44

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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.