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Finding the Fourth Proportional to 458.63, 690.26 and 343.69

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Solution

The fourth proportional to 458.63, 690.26 and 343.69 is: 517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.63 : 690.26 = 343.69 : x
  2. Step 2: Convert to fraction form
    458.63/690.26 = 343.69/x
  3. Step 3: Cross multiply
    458.63x = 690.26 × 343.69
  4. Step 4: Simplify right side
    458.63x = 237,235.90
  5. Step 5: Solve for x
    x = 237,235.90/458.63
  6. Step 6: Final answer
    x = 517.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.