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Finding the Fourth Proportional to 868.79, 1,199.32 and 554.47

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Solution

The fourth proportional to 868.79, 1,199.32 and 554.47 is: 765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.79 : 1,199.32 = 554.47 : x
  2. Step 2: Convert to fraction form
    868.79/1,199.32 = 554.47/x
  3. Step 3: Cross multiply
    868.79x = 1,199.32 × 554.47
  4. Step 4: Simplify right side
    868.79x = 664,981.19
  5. Step 5: Solve for x
    x = 664,981.19/868.79
  6. Step 6: Final answer
    x = 765.41

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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.