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Finding the Fourth Proportional to 701.86, 1,052.79 and 214.85

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Solution

The fourth proportional to 701.86, 1,052.79 and 214.85 is: 322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.86 : 1,052.79 = 214.85 : x
  2. Step 2: Convert to fraction form
    701.86/1,052.79 = 214.85/x
  3. Step 3: Cross multiply
    701.86x = 1,052.79 × 214.85
  4. Step 4: Simplify right side
    701.86x = 226,185.86
  5. Step 5: Solve for x
    x = 226,185.86/701.86
  6. Step 6: Final answer
    x = 322.27

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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.