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Finding the Fourth Proportional to 726.24, 1,090.82 and 434.32

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Solution

The fourth proportional to 726.24, 1,090.82 and 434.32 is: 652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.24 : 1,090.82 = 434.32 : x
  2. Step 2: Convert to fraction form
    726.24/1,090.82 = 434.32/x
  3. Step 3: Cross multiply
    726.24x = 1,090.82 × 434.32
  4. Step 4: Simplify right side
    726.24x = 473,764.94
  5. Step 5: Solve for x
    x = 473,764.94/726.24
  6. Step 6: Final answer
    x = 652.35

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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.