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Finding the Fourth Proportional to 701.57, 968.18 and 386.85

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Solution

The fourth proportional to 701.57, 968.18 and 386.85 is: 533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.57 : 968.18 = 386.85 : x
  2. Step 2: Convert to fraction form
    701.57/968.18 = 386.85/x
  3. Step 3: Cross multiply
    701.57x = 968.18 × 386.85
  4. Step 4: Simplify right side
    701.57x = 374,538.26
  5. Step 5: Solve for x
    x = 374,538.26/701.57
  6. Step 6: Final answer
    x = 533.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.