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Finding the Fourth Proportional to 726.97, 1,090.24 and 288.05

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Solution

The fourth proportional to 726.97, 1,090.24 and 288.05 is: 431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.97 : 1,090.24 = 288.05 : x
  2. Step 2: Convert to fraction form
    726.97/1,090.24 = 288.05/x
  3. Step 3: Cross multiply
    726.97x = 1,090.24 × 288.05
  4. Step 4: Simplify right side
    726.97x = 314,042.19
  5. Step 5: Solve for x
    x = 314,042.19/726.97
  6. Step 6: Final answer
    x = 431.99

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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.