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Finding the Fourth Proportional to 726.40, 1,089.12 and 293.12

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Solution

The fourth proportional to 726.40, 1,089.12 and 293.12 is: 439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.40 : 1,089.12 = 293.12 : x
  2. Step 2: Convert to fraction form
    726.40/1,089.12 = 293.12/x
  3. Step 3: Cross multiply
    726.40x = 1,089.12 × 293.12
  4. Step 4: Simplify right side
    726.40x = 319,242.85
  5. Step 5: Solve for x
    x = 319,242.85/726.40
  6. Step 6: Final answer
    x = 439.49

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Double scale
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1.5x scale

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.