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Finding the Fourth Proportional to 701.75, 1,052.63 and 268.91

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Solution

The fourth proportional to 701.75, 1,052.63 and 268.91 is: 403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.75 : 1,052.63 = 268.91 : x
  2. Step 2: Convert to fraction form
    701.75/1,052.63 = 268.91/x
  3. Step 3: Cross multiply
    701.75x = 1,052.63 × 268.91
  4. Step 4: Simplify right side
    701.75x = 283,056.13
  5. Step 5: Solve for x
    x = 283,056.13/701.75
  6. Step 6: Final answer
    x = 403.36

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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.