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Finding the Fourth Proportional to 701.58, 1,052.25 and 268.74

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Solution

The fourth proportional to 701.58, 1,052.25 and 268.74 is: 403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.58 : 1,052.25 = 268.74 : x
  2. Step 2: Convert to fraction form
    701.58/1,052.25 = 268.74/x
  3. Step 3: Cross multiply
    701.58x = 1,052.25 × 268.74
  4. Step 4: Simplify right side
    701.58x = 282,781.67
  5. Step 5: Solve for x
    x = 282,781.67/701.58
  6. Step 6: Final answer
    x = 403.06

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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.