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Finding the Fourth Proportional to 1,147.14, 1,721.31 and 454.17

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Solution

The fourth proportional to 1,147.14, 1,721.31 and 454.17 is: 681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.14 : 1,721.31 = 454.17 : x
  2. Step 2: Convert to fraction form
    1,147.14/1,721.31 = 454.17/x
  3. Step 3: Cross multiply
    1,147.14x = 1,721.31 × 454.17
  4. Step 4: Simplify right side
    1,147.14x = 781,767.36
  5. Step 5: Solve for x
    x = 781,767.36/1,147.14
  6. Step 6: Final answer
    x = 681.49

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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.