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Finding the Fourth Proportional to 689.31, 951.41 and 394.75

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Solution

The fourth proportional to 689.31, 951.41 and 394.75 is: 544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.31 : 951.41 = 394.75 : x
  2. Step 2: Convert to fraction form
    689.31/951.41 = 394.75/x
  3. Step 3: Cross multiply
    689.31x = 951.41 × 394.75
  4. Step 4: Simplify right side
    689.31x = 375,569.10
  5. Step 5: Solve for x
    x = 375,569.10/689.31
  6. Step 6: Final answer
    x = 544.85

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Half scale
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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.