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Finding the Fourth Proportional to 1,649.86, 2,474.10 and 553.96

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Solution

The fourth proportional to 1,649.86, 2,474.10 and 553.96 is: 830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.86 : 2,474.10 = 553.96 : x
  2. Step 2: Convert to fraction form
    1,649.86/2,474.10 = 553.96/x
  3. Step 3: Cross multiply
    1,649.86x = 2,474.10 × 553.96
  4. Step 4: Simplify right side
    1,649.86x = 1,370,552.44
  5. Step 5: Solve for x
    x = 1,370,552.44/1,649.86
  6. Step 6: Final answer
    x = 830.71

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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.