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Finding the Fourth Proportional to 701.59, 967.94 and 421.60

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Solution

The fourth proportional to 701.59, 967.94 and 421.60 is: 581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.59 : 967.94 = 421.60 : x
  2. Step 2: Convert to fraction form
    701.59/967.94 = 421.60/x
  3. Step 3: Cross multiply
    701.59x = 967.94 × 421.60
  4. Step 4: Simplify right side
    701.59x = 408,083.50
  5. Step 5: Solve for x
    x = 408,083.50/701.59
  6. Step 6: Final answer
    x = 581.66

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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.