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Finding the Fourth Proportional to 1,170.61, 1,755.96 and 711.34

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Solution

The fourth proportional to 1,170.61, 1,755.96 and 711.34 is: 1,067.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.61 : 1,755.96 = 711.34 : x
  2. Step 2: Convert to fraction form
    1,170.61/1,755.96 = 711.34/x
  3. Step 3: Cross multiply
    1,170.61x = 1,755.96 × 711.34
  4. Step 4: Simplify right side
    1,170.61x = 1,249,084.59
  5. Step 5: Solve for x
    x = 1,249,084.59/1,170.61
  6. Step 6: Final answer
    x = 1,067.04

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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.