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Finding the Fourth Proportional to 1,461.97, 2,191.80 and 731.17

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Solution

The fourth proportional to 1,461.97, 2,191.80 and 731.17 is: 1,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.97 : 2,191.80 = 731.17 : x
  2. Step 2: Convert to fraction form
    1,461.97/2,191.80 = 731.17/x
  3. Step 3: Cross multiply
    1,461.97x = 2,191.80 × 731.17
  4. Step 4: Simplify right side
    1,461.97x = 1,602,578.41
  5. Step 5: Solve for x
    x = 1,602,578.41/1,461.97
  6. Step 6: Final answer
    x = 1,096.18

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Double scale
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1.5x scale

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.