Home / 1,220.19-1,829.33-440.07

Finding the Fourth Proportional to 1,220.19, 1,829.33 and 440.07

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Solution

The fourth proportional to 1,220.19, 1,829.33 and 440.07 is: 659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.19 : 1,829.33 = 440.07 : x
  2. Step 2: Convert to fraction form
    1,220.19/1,829.33 = 440.07/x
  3. Step 3: Cross multiply
    1,220.19x = 1,829.33 × 440.07
  4. Step 4: Simplify right side
    1,220.19x = 805,031.05
  5. Step 5: Solve for x
    x = 805,031.05/1,220.19
  6. Step 6: Final answer
    x = 659.76

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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.