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Finding the Fourth Proportional to 701.61, 968.38 and 406.92

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Solution

The fourth proportional to 701.61, 968.38 and 406.92 is: 561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.61 : 968.38 = 406.92 : x
  2. Step 2: Convert to fraction form
    701.61/968.38 = 406.92/x
  3. Step 3: Cross multiply
    701.61x = 968.38 × 406.92
  4. Step 4: Simplify right side
    701.61x = 394,056.95
  5. Step 5: Solve for x
    x = 394,056.95/701.61
  6. Step 6: Final answer
    x = 561.65

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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.