Home / 1,040.49-1,561.13-310.07

Finding the Fourth Proportional to 1,040.49, 1,561.13 and 310.07

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Solution

The fourth proportional to 1,040.49, 1,561.13 and 310.07 is: 465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.49 : 1,561.13 = 310.07 : x
  2. Step 2: Convert to fraction form
    1,040.49/1,561.13 = 310.07/x
  3. Step 3: Cross multiply
    1,040.49x = 1,561.13 × 310.07
  4. Step 4: Simplify right side
    1,040.49x = 484,059.58
  5. Step 5: Solve for x
    x = 484,059.58/1,040.49
  6. Step 6: Final answer
    x = 465.22

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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.