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Finding the Fourth Proportional to 863.73, 1,191.60 and 601.90

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Solution

The fourth proportional to 863.73, 1,191.60 and 601.90 is: 830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.73 : 1,191.60 = 601.90 : x
  2. Step 2: Convert to fraction form
    863.73/1,191.60 = 601.90/x
  3. Step 3: Cross multiply
    863.73x = 1,191.60 × 601.90
  4. Step 4: Simplify right side
    863.73x = 717,221.06
  5. Step 5: Solve for x
    x = 717,221.06/863.73
  6. Step 6: Final answer
    x = 830.38

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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.