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Finding the Fourth Proportional to 1,648.77, 2,471.62 and 608.19

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Solution

The fourth proportional to 1,648.77, 2,471.62 and 608.19 is: 911.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.77 : 2,471.62 = 608.19 : x
  2. Step 2: Convert to fraction form
    1,648.77/2,471.62 = 608.19/x
  3. Step 3: Cross multiply
    1,648.77x = 2,471.62 × 608.19
  4. Step 4: Simplify right side
    1,648.77x = 1,503,214.57
  5. Step 5: Solve for x
    x = 1,503,214.57/1,648.77
  6. Step 6: Final answer
    x = 911.72

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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.