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Finding the Fourth Proportional to 1,109.97, 1,531.57 and 661.70

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Solution

The fourth proportional to 1,109.97, 1,531.57 and 661.70 is: 913.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.97 : 1,531.57 = 661.70 : x
  2. Step 2: Convert to fraction form
    1,109.97/1,531.57 = 661.70/x
  3. Step 3: Cross multiply
    1,109.97x = 1,531.57 × 661.70
  4. Step 4: Simplify right side
    1,109.97x = 1,013,428.90
  5. Step 5: Solve for x
    x = 1,013,428.90/1,109.97
  6. Step 6: Final answer
    x = 913.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.