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Finding the Fourth Proportional to 934.38, 1,394.78 and 857.34

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Solution

The fourth proportional to 934.38, 1,394.78 and 857.34 is: 1,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.38 : 1,394.78 = 857.34 : x
  2. Step 2: Convert to fraction form
    934.38/1,394.78 = 857.34/x
  3. Step 3: Cross multiply
    934.38x = 1,394.78 × 857.34
  4. Step 4: Simplify right side
    934.38x = 1,195,796.40
  5. Step 5: Solve for x
    x = 1,195,796.40/934.38
  6. Step 6: Final answer
    x = 1,279.78

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1.5x scale

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.