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Finding the Fourth Proportional to 1,146.73, 1,582.08 and 726.93

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Solution

The fourth proportional to 1,146.73, 1,582.08 and 726.93 is: 1,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.73 : 1,582.08 = 726.93 : x
  2. Step 2: Convert to fraction form
    1,146.73/1,582.08 = 726.93/x
  3. Step 3: Cross multiply
    1,146.73x = 1,582.08 × 726.93
  4. Step 4: Simplify right side
    1,146.73x = 1,150,061.41
  5. Step 5: Solve for x
    x = 1,150,061.41/1,146.73
  6. Step 6: Final answer
    x = 1,002.91

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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.