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Finding the Fourth Proportional to 1,146.97, 1,580.54 and 814.46

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Solution

The fourth proportional to 1,146.97, 1,580.54 and 814.46 is: 1,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.97 : 1,580.54 = 814.46 : x
  2. Step 2: Convert to fraction form
    1,146.97/1,580.54 = 814.46/x
  3. Step 3: Cross multiply
    1,146.97x = 1,580.54 × 814.46
  4. Step 4: Simplify right side
    1,146.97x = 1,287,286.61
  5. Step 5: Solve for x
    x = 1,287,286.61/1,146.97
  6. Step 6: Final answer
    x = 1,122.34

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Double scale
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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.