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Finding the Fourth Proportional to 679.11, 937.62 and 458.57

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Solution

The fourth proportional to 679.11, 937.62 and 458.57 is: 633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.11 : 937.62 = 458.57 : x
  2. Step 2: Convert to fraction form
    679.11/937.62 = 458.57/x
  3. Step 3: Cross multiply
    679.11x = 937.62 × 458.57
  4. Step 4: Simplify right side
    679.11x = 429,959.72
  5. Step 5: Solve for x
    x = 429,959.72/679.11
  6. Step 6: Final answer
    x = 633.12

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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.