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Finding the Fourth Proportional to 1,650.12, 2,474.78 and 554.46

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Solution

The fourth proportional to 1,650.12, 2,474.78 and 554.46 is: 831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.12 : 2,474.78 = 554.46 : x
  2. Step 2: Convert to fraction form
    1,650.12/2,474.78 = 554.46/x
  3. Step 3: Cross multiply
    1,650.12x = 2,474.78 × 554.46
  4. Step 4: Simplify right side
    1,650.12x = 1,372,163.75
  5. Step 5: Solve for x
    x = 1,372,163.75/1,650.12
  6. Step 6: Final answer
    x = 831.55

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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.