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Finding the Fourth Proportional to 672.85, 927.47 and 616.35

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Solution

The fourth proportional to 672.85, 927.47 and 616.35 is: 849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.85 : 927.47 = 616.35 : x
  2. Step 2: Convert to fraction form
    672.85/927.47 = 616.35/x
  3. Step 3: Cross multiply
    672.85x = 927.47 × 616.35
  4. Step 4: Simplify right side
    672.85x = 571,647.68
  5. Step 5: Solve for x
    x = 571,647.68/672.85
  6. Step 6: Final answer
    x = 849.59

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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.