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Finding the Fourth Proportional to 1,040.45, 1,560.25 and 519.83

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Solution

The fourth proportional to 1,040.45, 1,560.25 and 519.83 is: 779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.45 : 1,560.25 = 519.83 : x
  2. Step 2: Convert to fraction form
    1,040.45/1,560.25 = 519.83/x
  3. Step 3: Cross multiply
    1,040.45x = 1,560.25 × 519.83
  4. Step 4: Simplify right side
    1,040.45x = 811,066.38
  5. Step 5: Solve for x
    x = 811,066.38/1,040.45
  6. Step 6: Final answer
    x = 779.53

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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.