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Finding the Fourth Proportional to 701.15, 1,051.27 and 426.83

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Solution

The fourth proportional to 701.15, 1,051.27 and 426.83 is: 639.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.15 : 1,051.27 = 426.83 : x
  2. Step 2: Convert to fraction form
    701.15/1,051.27 = 426.83/x
  3. Step 3: Cross multiply
    701.15x = 1,051.27 × 426.83
  4. Step 4: Simplify right side
    701.15x = 448,707.25
  5. Step 5: Solve for x
    x = 448,707.25/701.15
  6. Step 6: Final answer
    x = 639.96

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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.