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Finding the Fourth Proportional to 1,648.78, 2,471.65 and 608.54

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Solution

The fourth proportional to 1,648.78, 2,471.65 and 608.54 is: 912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.78 : 2,471.65 = 608.54 : x
  2. Step 2: Convert to fraction form
    1,648.78/2,471.65 = 608.54/x
  3. Step 3: Cross multiply
    1,648.78x = 2,471.65 × 608.54
  4. Step 4: Simplify right side
    1,648.78x = 1,504,084.01
  5. Step 5: Solve for x
    x = 1,504,084.01/1,648.78
  6. Step 6: Final answer
    x = 912.24

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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.