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Finding the Fourth Proportional to 689.64, 951.74 and 394.92

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Solution

The fourth proportional to 689.64, 951.74 and 394.92 is: 545.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.64 : 951.74 = 394.92 : x
  2. Step 2: Convert to fraction form
    689.64/951.74 = 394.92/x
  3. Step 3: Cross multiply
    689.64x = 951.74 × 394.92
  4. Step 4: Simplify right side
    689.64x = 375,861.16
  5. Step 5: Solve for x
    x = 375,861.16/689.64
  6. Step 6: Final answer
    x = 545.01

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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.