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Finding the Fourth Proportional to 948.40, 1,306.71 and 829.48

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Solution

The fourth proportional to 948.40, 1,306.71 and 829.48 is: 1,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.40 : 1,306.71 = 829.48 : x
  2. Step 2: Convert to fraction form
    948.40/1,306.71 = 829.48/x
  3. Step 3: Cross multiply
    948.40x = 1,306.71 × 829.48
  4. Step 4: Simplify right side
    948.40x = 1,083,889.81
  5. Step 5: Solve for x
    x = 1,083,889.81/948.40
  6. Step 6: Final answer
    x = 1,142.86

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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.