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Finding the Fourth Proportional to 1,191.34, 1,787.44 and 460.74

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Solution

The fourth proportional to 1,191.34, 1,787.44 and 460.74 is: 691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.34 : 1,787.44 = 460.74 : x
  2. Step 2: Convert to fraction form
    1,191.34/1,787.44 = 460.74/x
  3. Step 3: Cross multiply
    1,191.34x = 1,787.44 × 460.74
  4. Step 4: Simplify right side
    1,191.34x = 823,545.11
  5. Step 5: Solve for x
    x = 823,545.11/1,191.34
  6. Step 6: Final answer
    x = 691.28

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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.