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Finding the Fourth Proportional to 679.20, 936.48 and 458.64

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Solution

The fourth proportional to 679.20, 936.48 and 458.64 is: 632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.20 : 936.48 = 458.64 : x
  2. Step 2: Convert to fraction form
    679.20/936.48 = 458.64/x
  3. Step 3: Cross multiply
    679.20x = 936.48 × 458.64
  4. Step 4: Simplify right side
    679.20x = 429,507.19
  5. Step 5: Solve for x
    x = 429,507.19/679.20
  6. Step 6: Final answer
    x = 632.37

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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.