Home / 1,041.08-1,561.89-310.66

Finding the Fourth Proportional to 1,041.08, 1,561.89 and 310.66

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Solution

The fourth proportional to 1,041.08, 1,561.89 and 310.66 is: 466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.08 : 1,561.89 = 310.66 : x
  2. Step 2: Convert to fraction form
    1,041.08/1,561.89 = 310.66/x
  3. Step 3: Cross multiply
    1,041.08x = 1,561.89 × 310.66
  4. Step 4: Simplify right side
    1,041.08x = 485,212.84
  5. Step 5: Solve for x
    x = 485,212.84/1,041.08
  6. Step 6: Final answer
    x = 466.07

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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.