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Finding the Fourth Proportional to 938.57, 1,294.36 and 703.09

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Solution

The fourth proportional to 938.57, 1,294.36 and 703.09 is: 969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.57 : 1,294.36 = 703.09 : x
  2. Step 2: Convert to fraction form
    938.57/1,294.36 = 703.09/x
  3. Step 3: Cross multiply
    938.57x = 1,294.36 × 703.09
  4. Step 4: Simplify right side
    938.57x = 910,046.58
  5. Step 5: Solve for x
    x = 910,046.58/938.57
  6. Step 6: Final answer
    x = 969.61

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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.