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Finding the Fourth Proportional to 701.59, 1,051.22 and 426.85

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Solution

The fourth proportional to 701.59, 1,051.22 and 426.85 is: 639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.59 : 1,051.22 = 426.85 : x
  2. Step 2: Convert to fraction form
    701.59/1,051.22 = 426.85/x
  3. Step 3: Cross multiply
    701.59x = 1,051.22 × 426.85
  4. Step 4: Simplify right side
    701.59x = 448,712.19
  5. Step 5: Solve for x
    x = 448,712.19/701.59
  6. Step 6: Final answer
    x = 639.56

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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.