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Finding the Fourth Proportional to 701.87, 968.79 and 407.27

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Solution

The fourth proportional to 701.87, 968.79 and 407.27 is: 562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.87 : 968.79 = 407.27 : x
  2. Step 2: Convert to fraction form
    701.87/968.79 = 407.27/x
  3. Step 3: Cross multiply
    701.87x = 968.79 × 407.27
  4. Step 4: Simplify right side
    701.87x = 394,559.10
  5. Step 5: Solve for x
    x = 394,559.10/701.87
  6. Step 6: Final answer
    x = 562.15

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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.