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Finding the Fourth Proportional to 701.68, 1,051.30 and 426.92

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Solution

The fourth proportional to 701.68, 1,051.30 and 426.92 is: 639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.68 : 1,051.30 = 426.92 : x
  2. Step 2: Convert to fraction form
    701.68/1,051.30 = 426.92/x
  3. Step 3: Cross multiply
    701.68x = 1,051.30 × 426.92
  4. Step 4: Simplify right side
    701.68x = 448,821.00
  5. Step 5: Solve for x
    x = 448,821.00/701.68
  6. Step 6: Final answer
    x = 639.64

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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.