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Finding the Fourth Proportional to 679.56, 937.87 and 417.42

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Solution

The fourth proportional to 679.56, 937.87 and 417.42 is: 576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.56 : 937.87 = 417.42 : x
  2. Step 2: Convert to fraction form
    679.56/937.87 = 417.42/x
  3. Step 3: Cross multiply
    679.56x = 937.87 × 417.42
  4. Step 4: Simplify right side
    679.56x = 391,484.65
  5. Step 5: Solve for x
    x = 391,484.65/679.56
  6. Step 6: Final answer
    x = 576.09

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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.