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Finding the Fourth Proportional to 2,254.32, 3,381.65 and 610.84

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Solution

The fourth proportional to 2,254.32, 3,381.65 and 610.84 is: 916.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.32 : 3,381.65 = 610.84 : x
  2. Step 2: Convert to fraction form
    2,254.32/3,381.65 = 610.84/x
  3. Step 3: Cross multiply
    2,254.32x = 3,381.65 × 610.84
  4. Step 4: Simplify right side
    2,254.32x = 2,065,647.09
  5. Step 5: Solve for x
    x = 2,065,647.09/2,254.32
  6. Step 6: Final answer
    x = 916.31

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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.