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Finding the Fourth Proportional to 458.73, 688.68 and 276.48

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Solution

The fourth proportional to 458.73, 688.68 and 276.48 is: 415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.73 : 688.68 = 276.48 : x
  2. Step 2: Convert to fraction form
    458.73/688.68 = 276.48/x
  3. Step 3: Cross multiply
    458.73x = 688.68 × 276.48
  4. Step 4: Simplify right side
    458.73x = 190,406.25
  5. Step 5: Solve for x
    x = 190,406.25/458.73
  6. Step 6: Final answer
    x = 415.07

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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.