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Finding the Fourth Proportional to 679.65, 937.61 and 417.82

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Solution

The fourth proportional to 679.65, 937.61 and 417.82 is: 576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.65 : 937.61 = 417.82 : x
  2. Step 2: Convert to fraction form
    679.65/937.61 = 417.82/x
  3. Step 3: Cross multiply
    679.65x = 937.61 × 417.82
  4. Step 4: Simplify right side
    679.65x = 391,748.57
  5. Step 5: Solve for x
    x = 391,748.57/679.65
  6. Step 6: Final answer
    x = 576.40

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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.