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Finding the Fourth Proportional to 726.87, 1,088.89 and 580.93

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Solution

The fourth proportional to 726.87, 1,088.89 and 580.93 is: 870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.87 : 1,088.89 = 580.93 : x
  2. Step 2: Convert to fraction form
    726.87/1,088.89 = 580.93/x
  3. Step 3: Cross multiply
    726.87x = 1,088.89 × 580.93
  4. Step 4: Simplify right side
    726.87x = 632,568.87
  5. Step 5: Solve for x
    x = 632,568.87/726.87
  6. Step 6: Final answer
    x = 870.26

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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.