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Finding the Fourth Proportional to 701.89, 968.80 and 407.25

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Solution

The fourth proportional to 701.89, 968.80 and 407.25 is: 562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.89 : 968.80 = 407.25 : x
  2. Step 2: Convert to fraction form
    701.89/968.80 = 407.25/x
  3. Step 3: Cross multiply
    701.89x = 968.80 × 407.25
  4. Step 4: Simplify right side
    701.89x = 394,542.78
  5. Step 5: Solve for x
    x = 394,542.78/701.89
  6. Step 6: Final answer
    x = 562.12

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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.