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Finding the Fourth Proportional to 787.11, 1,085.90 and 476.07

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Solution

The fourth proportional to 787.11, 1,085.90 and 476.07 is: 656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.11 : 1,085.90 = 476.07 : x
  2. Step 2: Convert to fraction form
    787.11/1,085.90 = 476.07/x
  3. Step 3: Cross multiply
    787.11x = 1,085.90 × 476.07
  4. Step 4: Simplify right side
    787.11x = 516,962.03
  5. Step 5: Solve for x
    x = 516,962.03/787.11
  6. Step 6: Final answer
    x = 656.78

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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.