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Finding the Fourth Proportional to 726.48, 1,089.80 and 213.52

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Solution

The fourth proportional to 726.48, 1,089.80 and 213.52 is: 320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.48 : 1,089.80 = 213.52 : x
  2. Step 2: Convert to fraction form
    726.48/1,089.80 = 213.52/x
  3. Step 3: Cross multiply
    726.48x = 1,089.80 × 213.52
  4. Step 4: Simplify right side
    726.48x = 232,694.10
  5. Step 5: Solve for x
    x = 232,694.10/726.48
  6. Step 6: Final answer
    x = 320.30

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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.