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Finding the Fourth Proportional to 1,151.67, 1,724.45 and 787.17

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Solution

The fourth proportional to 1,151.67, 1,724.45 and 787.17 is: 1,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.67 : 1,724.45 = 787.17 : x
  2. Step 2: Convert to fraction form
    1,151.67/1,724.45 = 787.17/x
  3. Step 3: Cross multiply
    1,151.67x = 1,724.45 × 787.17
  4. Step 4: Simplify right side
    1,151.67x = 1,357,431.37
  5. Step 5: Solve for x
    x = 1,357,431.37/1,151.67
  6. Step 6: Final answer
    x = 1,178.66

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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.