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Finding the Fourth Proportional to 1,648.68, 2,472.35 and 608.75

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Solution

The fourth proportional to 1,648.68, 2,472.35 and 608.75 is: 912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.68 : 2,472.35 = 608.75 : x
  2. Step 2: Convert to fraction form
    1,648.68/2,472.35 = 608.75/x
  3. Step 3: Cross multiply
    1,648.68x = 2,472.35 × 608.75
  4. Step 4: Simplify right side
    1,648.68x = 1,505,027.66
  5. Step 5: Solve for x
    x = 1,505,027.66/1,648.68
  6. Step 6: Final answer
    x = 912.87

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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.