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Finding the Fourth Proportional to 825.26, 1,139.40 and 638.42

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Solution

The fourth proportional to 825.26, 1,139.40 and 638.42 is: 881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.26 : 1,139.40 = 638.42 : x
  2. Step 2: Convert to fraction form
    825.26/1,139.40 = 638.42/x
  3. Step 3: Cross multiply
    825.26x = 1,139.40 × 638.42
  4. Step 4: Simplify right side
    825.26x = 727,415.75
  5. Step 5: Solve for x
    x = 727,415.75/825.26
  6. Step 6: Final answer
    x = 881.44

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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.