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Finding the Fourth Proportional to 1,171.60, 1,757.69 and 349.87

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Solution

The fourth proportional to 1,171.60, 1,757.69 and 349.87 is: 524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.60 : 1,757.69 = 349.87 : x
  2. Step 2: Convert to fraction form
    1,171.60/1,757.69 = 349.87/x
  3. Step 3: Cross multiply
    1,171.60x = 1,757.69 × 349.87
  4. Step 4: Simplify right side
    1,171.60x = 614,960.97
  5. Step 5: Solve for x
    x = 614,960.97/1,171.60
  6. Step 6: Final answer
    x = 524.89

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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.