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Finding the Fourth Proportional to 701.50, 968.03 and 421.75

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Solution

The fourth proportional to 701.50, 968.03 and 421.75 is: 581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.50 : 968.03 = 421.75 : x
  2. Step 2: Convert to fraction form
    701.50/968.03 = 421.75/x
  3. Step 3: Cross multiply
    701.50x = 968.03 × 421.75
  4. Step 4: Simplify right side
    701.50x = 408,266.65
  5. Step 5: Solve for x
    x = 408,266.65/701.50
  6. Step 6: Final answer
    x = 581.99

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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.