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Finding the Fourth Proportional to 863.75, 1,189.56 and 808.16

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Solution

The fourth proportional to 863.75, 1,189.56 and 808.16 is: 1,113.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.75 : 1,189.56 = 808.16 : x
  2. Step 2: Convert to fraction form
    863.75/1,189.56 = 808.16/x
  3. Step 3: Cross multiply
    863.75x = 1,189.56 × 808.16
  4. Step 4: Simplify right side
    863.75x = 961,357.78
  5. Step 5: Solve for x
    x = 961,357.78/863.75
  6. Step 6: Final answer
    x = 1,113.00

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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.