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Finding the Fourth Proportional to 863.63, 1,191.33 and 583.40

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Solution

The fourth proportional to 863.63, 1,191.33 and 583.40 is: 804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.63 : 1,191.33 = 583.40 : x
  2. Step 2: Convert to fraction form
    863.63/1,191.33 = 583.40/x
  3. Step 3: Cross multiply
    863.63x = 1,191.33 × 583.40
  4. Step 4: Simplify right side
    863.63x = 695,015.97
  5. Step 5: Solve for x
    x = 695,015.97/863.63
  6. Step 6: Final answer
    x = 804.77

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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.