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Finding the Fourth Proportional to 458.82, 687.98 and 276.57

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Solution

The fourth proportional to 458.82, 687.98 and 276.57 is: 414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.82 : 687.98 = 276.57 : x
  2. Step 2: Convert to fraction form
    458.82/687.98 = 276.57/x
  3. Step 3: Cross multiply
    458.82x = 687.98 × 276.57
  4. Step 4: Simplify right side
    458.82x = 190,273.25
  5. Step 5: Solve for x
    x = 190,273.25/458.82
  6. Step 6: Final answer
    x = 414.70

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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.