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Finding the Fourth Proportional to 726.35, 1,088.72 and 581.77

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Solution

The fourth proportional to 726.35, 1,088.72 and 581.77 is: 872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.35 : 1,088.72 = 581.77 : x
  2. Step 2: Convert to fraction form
    726.35/1,088.72 = 581.77/x
  3. Step 3: Cross multiply
    726.35x = 1,088.72 × 581.77
  4. Step 4: Simplify right side
    726.35x = 633,376.28
  5. Step 5: Solve for x
    x = 633,376.28/726.35
  6. Step 6: Final answer
    x = 872.00

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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.