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Finding the Fourth Proportional to 949.36, 1,306.20 and 824.68

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Solution

The fourth proportional to 949.36, 1,306.20 and 824.68 is: 1,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.36 : 1,306.20 = 824.68 : x
  2. Step 2: Convert to fraction form
    949.36/1,306.20 = 824.68/x
  3. Step 3: Cross multiply
    949.36x = 1,306.20 × 824.68
  4. Step 4: Simplify right side
    949.36x = 1,077,197.02
  5. Step 5: Solve for x
    x = 1,077,197.02/949.36
  6. Step 6: Final answer
    x = 1,134.66

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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.