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Finding the Fourth Proportional to 679.26, 936.79 and 458.20

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Solution

The fourth proportional to 679.26, 936.79 and 458.20 is: 631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.26 : 936.79 = 458.20 : x
  2. Step 2: Convert to fraction form
    679.26/936.79 = 458.20/x
  3. Step 3: Cross multiply
    679.26x = 936.79 × 458.20
  4. Step 4: Simplify right side
    679.26x = 429,237.18
  5. Step 5: Solve for x
    x = 429,237.18/679.26
  6. Step 6: Final answer
    x = 631.92

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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.