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Finding the Fourth Proportional to 701.38, 967.86 and 421.63

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Solution

The fourth proportional to 701.38, 967.86 and 421.63 is: 581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.38 : 967.86 = 421.63 : x
  2. Step 2: Convert to fraction form
    701.38/967.86 = 421.63/x
  3. Step 3: Cross multiply
    701.38x = 967.86 × 421.63
  4. Step 4: Simplify right side
    701.38x = 408,071.86
  5. Step 5: Solve for x
    x = 408,071.86/701.38
  6. Step 6: Final answer
    x = 581.81

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1.5x scale

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.