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Finding the Fourth Proportional to 863.84, 1,191.84 and 780.68

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Solution

The fourth proportional to 863.84, 1,191.84 and 780.68 is: 1,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.84 : 1,191.84 = 780.68 : x
  2. Step 2: Convert to fraction form
    863.84/1,191.84 = 780.68/x
  3. Step 3: Cross multiply
    863.84x = 1,191.84 × 780.68
  4. Step 4: Simplify right side
    863.84x = 930,445.65
  5. Step 5: Solve for x
    x = 930,445.65/863.84
  6. Step 6: Final answer
    x = 1,077.10

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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.