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Finding the Fourth Proportional to 1,171.30, 1,755.15 and 987.70

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Solution

The fourth proportional to 1,171.30, 1,755.15 and 987.70 is: 1,480.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.30 : 1,755.15 = 987.70 : x
  2. Step 2: Convert to fraction form
    1,171.30/1,755.15 = 987.70/x
  3. Step 3: Cross multiply
    1,171.30x = 1,755.15 × 987.70
  4. Step 4: Simplify right side
    1,171.30x = 1,733,561.66
  5. Step 5: Solve for x
    x = 1,733,561.66/1,171.30
  6. Step 6: Final answer
    x = 1,480.03

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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.