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Finding the Fourth Proportional to 877.48, 1,322.24 and 726.79

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Solution

The fourth proportional to 877.48, 1,322.24 and 726.79 is: 1,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.48 : 1,322.24 = 726.79 : x
  2. Step 2: Convert to fraction form
    877.48/1,322.24 = 726.79/x
  3. Step 3: Cross multiply
    877.48x = 1,322.24 × 726.79
  4. Step 4: Simplify right side
    877.48x = 960,990.81
  5. Step 5: Solve for x
    x = 960,990.81/877.48
  6. Step 6: Final answer
    x = 1,095.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.