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Finding the Fourth Proportional to 787.92, 1,086.32 and 647.52

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Solution

The fourth proportional to 787.92, 1,086.32 and 647.52 is: 892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.92 : 1,086.32 = 647.52 : x
  2. Step 2: Convert to fraction form
    787.92/1,086.32 = 647.52/x
  3. Step 3: Cross multiply
    787.92x = 1,086.32 × 647.52
  4. Step 4: Simplify right side
    787.92x = 703,413.93
  5. Step 5: Solve for x
    x = 703,413.93/787.92
  6. Step 6: Final answer
    x = 892.75

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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.