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Finding the Fourth Proportional to 948.24, 1,309.20 and 726.78

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Solution

The fourth proportional to 948.24, 1,309.20 and 726.78 is: 1,003.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.24 : 1,309.20 = 726.78 : x
  2. Step 2: Convert to fraction form
    948.24/1,309.20 = 726.78/x
  3. Step 3: Cross multiply
    948.24x = 1,309.20 × 726.78
  4. Step 4: Simplify right side
    948.24x = 951,500.38
  5. Step 5: Solve for x
    x = 951,500.38/948.24
  6. Step 6: Final answer
    x = 1,003.44

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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.