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Finding the Fourth Proportional to 1,224.46, 1,689.45 and 726.89

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Solution

The fourth proportional to 1,224.46, 1,689.45 and 726.89 is: 1,002.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.46 : 1,689.45 = 726.89 : x
  2. Step 2: Convert to fraction form
    1,224.46/1,689.45 = 726.89/x
  3. Step 3: Cross multiply
    1,224.46x = 1,689.45 × 726.89
  4. Step 4: Simplify right side
    1,224.46x = 1,228,044.31
  5. Step 5: Solve for x
    x = 1,228,044.31/1,224.46
  6. Step 6: Final answer
    x = 1,002.93

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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.