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Finding the Fourth Proportional to 1,003.28, 1,504.38 and 353.78

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Solution

The fourth proportional to 1,003.28, 1,504.38 and 353.78 is: 530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.28 : 1,504.38 = 353.78 : x
  2. Step 2: Convert to fraction form
    1,003.28/1,504.38 = 353.78/x
  3. Step 3: Cross multiply
    1,003.28x = 1,504.38 × 353.78
  4. Step 4: Simplify right side
    1,003.28x = 532,219.56
  5. Step 5: Solve for x
    x = 532,219.56/1,003.28
  6. Step 6: Final answer
    x = 530.48

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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.