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Finding the Fourth Proportional to 701.52, 968.31 and 406.86

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Solution

The fourth proportional to 701.52, 968.31 and 406.86 is: 561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.52 : 968.31 = 406.86 : x
  2. Step 2: Convert to fraction form
    701.52/968.31 = 406.86/x
  3. Step 3: Cross multiply
    701.52x = 968.31 × 406.86
  4. Step 4: Simplify right side
    701.52x = 393,966.61
  5. Step 5: Solve for x
    x = 393,966.61/701.52
  6. Step 6: Final answer
    x = 561.59

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