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Finding the Fourth Proportional to 863.57, 1,192.08 and 653.80

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Solution

The fourth proportional to 863.57, 1,192.08 and 653.80 is: 902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.57 : 1,192.08 = 653.80 : x
  2. Step 2: Convert to fraction form
    863.57/1,192.08 = 653.80/x
  3. Step 3: Cross multiply
    863.57x = 1,192.08 × 653.80
  4. Step 4: Simplify right side
    863.57x = 779,382.58
  5. Step 5: Solve for x
    x = 779,382.58/863.57
  6. Step 6: Final answer
    x = 902.52

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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.