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Finding the Fourth Proportional to 1,145.79, 1,581.21 and 726.48

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Solution

The fourth proportional to 1,145.79, 1,581.21 and 726.48 is: 1,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.79 : 1,581.21 = 726.48 : x
  2. Step 2: Convert to fraction form
    1,145.79/1,581.21 = 726.48/x
  3. Step 3: Cross multiply
    1,145.79x = 1,581.21 × 726.48
  4. Step 4: Simplify right side
    1,145.79x = 1,148,717.44
  5. Step 5: Solve for x
    x = 1,148,717.44/1,145.79
  6. Step 6: Final answer
    x = 1,002.55

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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.