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Finding the Fourth Proportional to 461.91, 689.07 and 428.76

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Solution

The fourth proportional to 461.91, 689.07 and 428.76 is: 639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.91 : 689.07 = 428.76 : x
  2. Step 2: Convert to fraction form
    461.91/689.07 = 428.76/x
  3. Step 3: Cross multiply
    461.91x = 689.07 × 428.76
  4. Step 4: Simplify right side
    461.91x = 295,446.30
  5. Step 5: Solve for x
    x = 295,446.30/461.91
  6. Step 6: Final answer
    x = 639.62

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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.