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Finding the Fourth Proportional to 928.10, 1,277.84 and 787.92

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Solution

The fourth proportional to 928.10, 1,277.84 and 787.92 is: 1,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.10 : 1,277.84 = 787.92 : x
  2. Step 2: Convert to fraction form
    928.10/1,277.84 = 787.92/x
  3. Step 3: Cross multiply
    928.10x = 1,277.84 × 787.92
  4. Step 4: Simplify right side
    928.10x = 1,006,835.69
  5. Step 5: Solve for x
    x = 1,006,835.69/928.10
  6. Step 6: Final answer
    x = 1,084.84

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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.