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Finding the Fourth Proportional to 726.71, 1,088.69 and 580.46

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Solution

The fourth proportional to 726.71, 1,088.69 and 580.46 is: 869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.71 : 1,088.69 = 580.46 : x
  2. Step 2: Convert to fraction form
    726.71/1,088.69 = 580.46/x
  3. Step 3: Cross multiply
    726.71x = 1,088.69 × 580.46
  4. Step 4: Simplify right side
    726.71x = 631,932.65
  5. Step 5: Solve for x
    x = 631,932.65/726.71
  6. Step 6: Final answer
    x = 869.59

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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.