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Finding the Fourth Proportional to 701.48, 968.11 and 421.80

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Solution

The fourth proportional to 701.48, 968.11 and 421.80 is: 582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.48 : 968.11 = 421.80 : x
  2. Step 2: Convert to fraction form
    701.48/968.11 = 421.80/x
  3. Step 3: Cross multiply
    701.48x = 968.11 × 421.80
  4. Step 4: Simplify right side
    701.48x = 408,347.74
  5. Step 5: Solve for x
    x = 408,347.74/701.48
  6. Step 6: Final answer
    x = 582.13

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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.