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Finding the Fourth Proportional to 1,040.89, 1,561.34 and 310.47

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Solution

The fourth proportional to 1,040.89, 1,561.34 and 310.47 is: 465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.89 : 1,561.34 = 310.47 : x
  2. Step 2: Convert to fraction form
    1,040.89/1,561.34 = 310.47/x
  3. Step 3: Cross multiply
    1,040.89x = 1,561.34 × 310.47
  4. Step 4: Simplify right side
    1,040.89x = 484,749.23
  5. Step 5: Solve for x
    x = 484,749.23/1,040.89
  6. Step 6: Final answer
    x = 465.71

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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.