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Finding the Fourth Proportional to 1,040.28, 1,559.61 and 520.03

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Solution

The fourth proportional to 1,040.28, 1,559.61 and 520.03 is: 779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.28 : 1,559.61 = 520.03 : x
  2. Step 2: Convert to fraction form
    1,040.28/1,559.61 = 520.03/x
  3. Step 3: Cross multiply
    1,040.28x = 1,559.61 × 520.03
  4. Step 4: Simplify right side
    1,040.28x = 811,033.59
  5. Step 5: Solve for x
    x = 811,033.59/1,040.28
  6. Step 6: Final answer
    x = 779.63

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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.