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Finding the Fourth Proportional to 689.41, 951.28 and 456.85

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Solution

The fourth proportional to 689.41, 951.28 and 456.85 is: 630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.41 : 951.28 = 456.85 : x
  2. Step 2: Convert to fraction form
    689.41/951.28 = 456.85/x
  3. Step 3: Cross multiply
    689.41x = 951.28 × 456.85
  4. Step 4: Simplify right side
    689.41x = 434,592.27
  5. Step 5: Solve for x
    x = 434,592.27/689.41
  6. Step 6: Final answer
    x = 630.38

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Half scale
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Double scale
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Similar ratio
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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.