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Finding the Fourth Proportional to 863.68, 1,191.60 and 601.84

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Solution

The fourth proportional to 863.68, 1,191.60 and 601.84 is: 830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.68 : 1,191.60 = 601.84 : x
  2. Step 2: Convert to fraction form
    863.68/1,191.60 = 601.84/x
  3. Step 3: Cross multiply
    863.68x = 1,191.60 × 601.84
  4. Step 4: Simplify right side
    863.68x = 717,152.54
  5. Step 5: Solve for x
    x = 717,152.54/863.68
  6. Step 6: Final answer
    x = 830.35

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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.