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Finding the Fourth Proportional to 787.54, 1,086.20 and 577.64

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Solution

The fourth proportional to 787.54, 1,086.20 and 577.64 is: 796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.54 : 1,086.20 = 577.64 : x
  2. Step 2: Convert to fraction form
    787.54/1,086.20 = 577.64/x
  3. Step 3: Cross multiply
    787.54x = 1,086.20 × 577.64
  4. Step 4: Simplify right side
    787.54x = 627,432.57
  5. Step 5: Solve for x
    x = 627,432.57/787.54
  6. Step 6: Final answer
    x = 796.70

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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.