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Finding the Fourth Proportional to 672.78, 927.84 and 561.14

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Solution

The fourth proportional to 672.78, 927.84 and 561.14 is: 773.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.78 : 927.84 = 561.14 : x
  2. Step 2: Convert to fraction form
    672.78/927.84 = 561.14/x
  3. Step 3: Cross multiply
    672.78x = 927.84 × 561.14
  4. Step 4: Simplify right side
    672.78x = 520,648.14
  5. Step 5: Solve for x
    x = 520,648.14/672.78
  6. Step 6: Final answer
    x = 773.88

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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.