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Finding the Fourth Proportional to 1,147.62, 1,721.43 and 417.26

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Solution

The fourth proportional to 1,147.62, 1,721.43 and 417.26 is: 625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.62 : 1,721.43 = 417.26 : x
  2. Step 2: Convert to fraction form
    1,147.62/1,721.43 = 417.26/x
  3. Step 3: Cross multiply
    1,147.62x = 1,721.43 × 417.26
  4. Step 4: Simplify right side
    1,147.62x = 718,275.27
  5. Step 5: Solve for x
    x = 718,275.27/1,147.62
  6. Step 6: Final answer
    x = 625.88

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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.