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Finding the Fourth Proportional to 787.95, 1,181.03 and 397.17

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Solution

The fourth proportional to 787.95, 1,181.03 and 397.17 is: 595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.95 : 1,181.03 = 397.17 : x
  2. Step 2: Convert to fraction form
    787.95/1,181.03 = 397.17/x
  3. Step 3: Cross multiply
    787.95x = 1,181.03 × 397.17
  4. Step 4: Simplify right side
    787.95x = 469,067.70
  5. Step 5: Solve for x
    x = 469,067.70/787.95
  6. Step 6: Final answer
    x = 595.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.