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Finding the Fourth Proportional to 868.54, 1,197.96 and 553.54

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Solution

The fourth proportional to 868.54, 1,197.96 and 553.54 is: 763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.54 : 1,197.96 = 553.54 : x
  2. Step 2: Convert to fraction form
    868.54/1,197.96 = 553.54/x
  3. Step 3: Cross multiply
    868.54x = 1,197.96 × 553.54
  4. Step 4: Simplify right side
    868.54x = 663,118.78
  5. Step 5: Solve for x
    x = 663,118.78/868.54
  6. Step 6: Final answer
    x = 763.49

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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.