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Finding the Fourth Proportional to 701.42, 967.93 and 421.66

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Solution

The fourth proportional to 701.42, 967.93 and 421.66 is: 581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.42 : 967.93 = 421.66 : x
  2. Step 2: Convert to fraction form
    701.42/967.93 = 421.66/x
  3. Step 3: Cross multiply
    701.42x = 967.93 × 421.66
  4. Step 4: Simplify right side
    701.42x = 408,133.89
  5. Step 5: Solve for x
    x = 408,133.89/701.42
  6. Step 6: Final answer
    x = 581.87

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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.