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Finding the Fourth Proportional to 458.96, 689.28 and 276.68

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Solution

The fourth proportional to 458.96, 689.28 and 276.68 is: 415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.96 : 689.28 = 276.68 : x
  2. Step 2: Convert to fraction form
    458.96/689.28 = 276.68/x
  3. Step 3: Cross multiply
    458.96x = 689.28 × 276.68
  4. Step 4: Simplify right side
    458.96x = 190,709.99
  5. Step 5: Solve for x
    x = 190,709.99/458.96
  6. Step 6: Final answer
    x = 415.53

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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.