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Finding the Fourth Proportional to 696.15, 1,045.58 and 422.78

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Solution

The fourth proportional to 696.15, 1,045.58 and 422.78 is: 634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.15 : 1,045.58 = 422.78 : x
  2. Step 2: Convert to fraction form
    696.15/1,045.58 = 422.78/x
  3. Step 3: Cross multiply
    696.15x = 1,045.58 × 422.78
  4. Step 4: Simplify right side
    696.15x = 442,042.97
  5. Step 5: Solve for x
    x = 442,042.97/696.15
  6. Step 6: Final answer
    x = 634.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.