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Finding the Fourth Proportional to 1,040.99, 1,561.31 and 310.39

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Solution

The fourth proportional to 1,040.99, 1,561.31 and 310.39 is: 465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.99 : 1,561.31 = 310.39 : x
  2. Step 2: Convert to fraction form
    1,040.99/1,561.31 = 310.39/x
  3. Step 3: Cross multiply
    1,040.99x = 1,561.31 × 310.39
  4. Step 4: Simplify right side
    1,040.99x = 484,623.01
  5. Step 5: Solve for x
    x = 484,623.01/1,040.99
  6. Step 6: Final answer
    x = 465.54

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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.