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Finding the Fourth Proportional to 701.97, 1,052.93 and 215.06

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Solution

The fourth proportional to 701.97, 1,052.93 and 215.06 is: 322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.97 : 1,052.93 = 215.06 : x
  2. Step 2: Convert to fraction form
    701.97/1,052.93 = 215.06/x
  3. Step 3: Cross multiply
    701.97x = 1,052.93 × 215.06
  4. Step 4: Simplify right side
    701.97x = 226,436.79
  5. Step 5: Solve for x
    x = 226,436.79/701.97
  6. Step 6: Final answer
    x = 322.57

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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.