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Finding the Fourth Proportional to 1,041.37, 1,561.91 and 310.85

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Solution

The fourth proportional to 1,041.37, 1,561.91 and 310.85 is: 466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.37 : 1,561.91 = 310.85 : x
  2. Step 2: Convert to fraction form
    1,041.37/1,561.91 = 310.85/x
  3. Step 3: Cross multiply
    1,041.37x = 1,561.91 × 310.85
  4. Step 4: Simplify right side
    1,041.37x = 485,525.88
  5. Step 5: Solve for x
    x = 485,525.88/1,041.37
  6. Step 6: Final answer
    x = 466.24

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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.