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Finding the Fourth Proportional to 1,041.31, 1,561.73 and 310.79

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Solution

The fourth proportional to 1,041.31, 1,561.73 and 310.79 is: 466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.31 : 1,561.73 = 310.79 : x
  2. Step 2: Convert to fraction form
    1,041.31/1,561.73 = 310.79/x
  3. Step 3: Cross multiply
    1,041.31x = 1,561.73 × 310.79
  4. Step 4: Simplify right side
    1,041.31x = 485,365.38
  5. Step 5: Solve for x
    x = 485,365.38/1,041.31
  6. Step 6: Final answer
    x = 466.11

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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.