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Finding the Fourth Proportional to 768.44, 1,059.86 and 488.72

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Solution

The fourth proportional to 768.44, 1,059.86 and 488.72 is: 674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.44 : 1,059.86 = 488.72 : x
  2. Step 2: Convert to fraction form
    768.44/1,059.86 = 488.72/x
  3. Step 3: Cross multiply
    768.44x = 1,059.86 × 488.72
  4. Step 4: Simplify right side
    768.44x = 517,974.78
  5. Step 5: Solve for x
    x = 517,974.78/768.44
  6. Step 6: Final answer
    x = 674.06

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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.