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Finding the Fourth Proportional to 1,608.16, 2,407.79 and 826.48

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Solution

The fourth proportional to 1,608.16, 2,407.79 and 826.48 is: 1,237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.16 : 2,407.79 = 826.48 : x
  2. Step 2: Convert to fraction form
    1,608.16/2,407.79 = 826.48/x
  3. Step 3: Cross multiply
    1,608.16x = 2,407.79 × 826.48
  4. Step 4: Simplify right side
    1,608.16x = 1,989,974.11
  5. Step 5: Solve for x
    x = 1,989,974.11/1,608.16
  6. Step 6: Final answer
    x = 1,237.43

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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.