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Finding the Fourth Proportional to 1,168.01, 1,612.47 and 726.46

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Solution

The fourth proportional to 1,168.01, 1,612.47 and 726.46 is: 1,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.01 : 1,612.47 = 726.46 : x
  2. Step 2: Convert to fraction form
    1,168.01/1,612.47 = 726.46/x
  3. Step 3: Cross multiply
    1,168.01x = 1,612.47 × 726.46
  4. Step 4: Simplify right side
    1,168.01x = 1,171,394.96
  5. Step 5: Solve for x
    x = 1,171,394.96/1,168.01
  6. Step 6: Final answer
    x = 1,002.90

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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.