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Finding the Fourth Proportional to 1,177.84, 1,767 and 397.92

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Solution

The fourth proportional to 1,177.84, 1,767 and 397.92 is: 596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.84 : 1,767 = 397.92 : x
  2. Step 2: Convert to fraction form
    1,177.84/1,767 = 397.92/x
  3. Step 3: Cross multiply
    1,177.84x = 1,767 × 397.92
  4. Step 4: Simplify right side
    1,177.84x = 703,124.64
  5. Step 5: Solve for x
    x = 703,124.64/1,177.84
  6. Step 6: Final answer
    x = 596.96

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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.