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Finding the Fourth Proportional to 902.69, 1,244.97 and 638.02

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Solution

The fourth proportional to 902.69, 1,244.97 and 638.02 is: 879.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.69 : 1,244.97 = 638.02 : x
  2. Step 2: Convert to fraction form
    902.69/1,244.97 = 638.02/x
  3. Step 3: Cross multiply
    902.69x = 1,244.97 × 638.02
  4. Step 4: Simplify right side
    902.69x = 794,318.87
  5. Step 5: Solve for x
    x = 794,318.87/902.69
  6. Step 6: Final answer
    x = 879.95

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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.