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Finding the Fourth Proportional to 928.20, 1,280.88 and 508.57

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Solution

The fourth proportional to 928.20, 1,280.88 and 508.57 is: 701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.20 : 1,280.88 = 508.57 : x
  2. Step 2: Convert to fraction form
    928.20/1,280.88 = 508.57/x
  3. Step 3: Cross multiply
    928.20x = 1,280.88 × 508.57
  4. Step 4: Simplify right side
    928.20x = 651,417.14
  5. Step 5: Solve for x
    x = 651,417.14/928.20
  6. Step 6: Final answer
    x = 701.81

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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.