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Finding the Fourth Proportional to 1,003.80, 1,504.78 and 448.22

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Solution

The fourth proportional to 1,003.80, 1,504.78 and 448.22 is: 671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.80 : 1,504.78 = 448.22 : x
  2. Step 2: Convert to fraction form
    1,003.80/1,504.78 = 448.22/x
  3. Step 3: Cross multiply
    1,003.80x = 1,504.78 × 448.22
  4. Step 4: Simplify right side
    1,003.80x = 674,475.13
  5. Step 5: Solve for x
    x = 674,475.13/1,003.80
  6. Step 6: Final answer
    x = 671.92

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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.