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Finding the Fourth Proportional to 498.30, 743.38 and 458.12

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Solution

The fourth proportional to 498.30, 743.38 and 458.12 is: 683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.30 : 743.38 = 458.12 : x
  2. Step 2: Convert to fraction form
    498.30/743.38 = 458.12/x
  3. Step 3: Cross multiply
    498.30x = 743.38 × 458.12
  4. Step 4: Simplify right side
    498.30x = 340,557.25
  5. Step 5: Solve for x
    x = 340,557.25/498.30
  6. Step 6: Final answer
    x = 683.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.