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Finding the Fourth Proportional to 1,649.41, 2,474.37 and 553.53

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Solution

The fourth proportional to 1,649.41, 2,474.37 and 553.53 is: 830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.41 : 2,474.37 = 553.53 : x
  2. Step 2: Convert to fraction form
    1,649.41/2,474.37 = 553.53/x
  3. Step 3: Cross multiply
    1,649.41x = 2,474.37 × 553.53
  4. Step 4: Simplify right side
    1,649.41x = 1,369,638.03
  5. Step 5: Solve for x
    x = 1,369,638.03/1,649.41
  6. Step 6: Final answer
    x = 830.38

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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.