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Finding the Fourth Proportional to 787.11, 1,085.97 and 492.13

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Solution

The fourth proportional to 787.11, 1,085.97 and 492.13 is: 678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.11 : 1,085.97 = 492.13 : x
  2. Step 2: Convert to fraction form
    787.11/1,085.97 = 492.13/x
  3. Step 3: Cross multiply
    787.11x = 1,085.97 × 492.13
  4. Step 4: Simplify right side
    787.11x = 534,438.42
  5. Step 5: Solve for x
    x = 534,438.42/787.11
  6. Step 6: Final answer
    x = 678.99

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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.