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Finding the Fourth Proportional to 769.88, 1,155.66 and 554.42

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Solution

The fourth proportional to 769.88, 1,155.66 and 554.42 is: 832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.88 : 1,155.66 = 554.42 : x
  2. Step 2: Convert to fraction form
    769.88/1,155.66 = 554.42/x
  3. Step 3: Cross multiply
    769.88x = 1,155.66 × 554.42
  4. Step 4: Simplify right side
    769.88x = 640,721.02
  5. Step 5: Solve for x
    x = 640,721.02/769.88
  6. Step 6: Final answer
    x = 832.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.