Home / 1,222.30-1,833.08-442.21

Finding the Fourth Proportional to 1,222.30, 1,833.08 and 442.21

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Solution

The fourth proportional to 1,222.30, 1,833.08 and 442.21 is: 663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.30 : 1,833.08 = 442.21 : x
  2. Step 2: Convert to fraction form
    1,222.30/1,833.08 = 442.21/x
  3. Step 3: Cross multiply
    1,222.30x = 1,833.08 × 442.21
  4. Step 4: Simplify right side
    1,222.30x = 810,602.95
  5. Step 5: Solve for x
    x = 810,602.95/1,222.30
  6. Step 6: Final answer
    x = 663.18

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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.