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Finding the Fourth Proportional to 458.90, 687.74 and 343.06

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Solution

The fourth proportional to 458.90, 687.74 and 343.06 is: 514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.90 : 687.74 = 343.06 : x
  2. Step 2: Convert to fraction form
    458.90/687.74 = 343.06/x
  3. Step 3: Cross multiply
    458.90x = 687.74 × 343.06
  4. Step 4: Simplify right side
    458.90x = 235,936.08
  5. Step 5: Solve for x
    x = 235,936.08/458.90
  6. Step 6: Final answer
    x = 514.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.