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Finding the Fourth Proportional to 938.39, 1,400.71 and 827.55

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Solution

The fourth proportional to 938.39, 1,400.71 and 827.55 is: 1,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.39 : 1,400.71 = 827.55 : x
  2. Step 2: Convert to fraction form
    938.39/1,400.71 = 827.55/x
  3. Step 3: Cross multiply
    938.39x = 1,400.71 × 827.55
  4. Step 4: Simplify right side
    938.39x = 1,159,150.00
  5. Step 5: Solve for x
    x = 1,159,150.00/938.39
  6. Step 6: Final answer
    x = 1,235.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.