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Finding the Fourth Proportional to 726.76, 1,003.10 and 447.24

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Solution

The fourth proportional to 726.76, 1,003.10 and 447.24 is: 617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.76 : 1,003.10 = 447.24 : x
  2. Step 2: Convert to fraction form
    726.76/1,003.10 = 447.24/x
  3. Step 3: Cross multiply
    726.76x = 1,003.10 × 447.24
  4. Step 4: Simplify right side
    726.76x = 448,626.44
  5. Step 5: Solve for x
    x = 448,626.44/726.76
  6. Step 6: Final answer
    x = 617.30

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Find fourth proportional to 363.38, 501.55 and 223.62
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.