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Finding the Fourth Proportional to 726.80, 1,088.76 and 653.96

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Solution

The fourth proportional to 726.80, 1,088.76 and 653.96 is: 979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.80 : 1,088.76 = 653.96 : x
  2. Step 2: Convert to fraction form
    726.80/1,088.76 = 653.96/x
  3. Step 3: Cross multiply
    726.80x = 1,088.76 × 653.96
  4. Step 4: Simplify right side
    726.80x = 712,005.49
  5. Step 5: Solve for x
    x = 712,005.49/726.80
  6. Step 6: Final answer
    x = 979.64

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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.