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Finding the Fourth Proportional to 461.07, 696.65 and 456.62

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Solution

The fourth proportional to 461.07, 696.65 and 456.62 is: 689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.07 : 696.65 = 456.62 : x
  2. Step 2: Convert to fraction form
    461.07/696.65 = 456.62/x
  3. Step 3: Cross multiply
    461.07x = 696.65 × 456.62
  4. Step 4: Simplify right side
    461.07x = 318,098.56
  5. Step 5: Solve for x
    x = 318,098.56/461.07
  6. Step 6: Final answer
    x = 689.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.