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Finding the Fourth Proportional to 928.16, 1,280.91 and 780.54

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Solution

The fourth proportional to 928.16, 1,280.91 and 780.54 is: 1,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.16 : 1,280.91 = 780.54 : x
  2. Step 2: Convert to fraction form
    928.16/1,280.91 = 780.54/x
  3. Step 3: Cross multiply
    928.16x = 1,280.91 × 780.54
  4. Step 4: Simplify right side
    928.16x = 999,799.61
  5. Step 5: Solve for x
    x = 999,799.61/928.16
  6. Step 6: Final answer
    x = 1,077.19

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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.