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Finding the Fourth Proportional to 948.24, 1,309.07 and 726.50

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Solution

The fourth proportional to 948.24, 1,309.07 and 726.50 is: 1,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.24 : 1,309.07 = 726.50 : x
  2. Step 2: Convert to fraction form
    948.24/1,309.07 = 726.50/x
  3. Step 3: Cross multiply
    948.24x = 1,309.07 × 726.50
  4. Step 4: Simplify right side
    948.24x = 951,044.44
  5. Step 5: Solve for x
    x = 951,044.44/948.24
  6. Step 6: Final answer
    x = 1,002.96

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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.