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Finding the Fourth Proportional to 679.68, 938.52 and 458.64

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Solution

The fourth proportional to 679.68, 938.52 and 458.64 is: 633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.68 : 938.52 = 458.64 : x
  2. Step 2: Convert to fraction form
    679.68/938.52 = 458.64/x
  3. Step 3: Cross multiply
    679.68x = 938.52 × 458.64
  4. Step 4: Simplify right side
    679.68x = 430,442.81
  5. Step 5: Solve for x
    x = 430,442.81/679.68
  6. Step 6: Final answer
    x = 633.30

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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.