Home / 1,223.34-1,834.29-442.98

Finding the Fourth Proportional to 1,223.34, 1,834.29 and 442.98

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Solution

The fourth proportional to 1,223.34, 1,834.29 and 442.98 is: 664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.34 : 1,834.29 = 442.98 : x
  2. Step 2: Convert to fraction form
    1,223.34/1,834.29 = 442.98/x
  3. Step 3: Cross multiply
    1,223.34x = 1,834.29 × 442.98
  4. Step 4: Simplify right side
    1,223.34x = 812,553.78
  5. Step 5: Solve for x
    x = 812,553.78/1,223.34
  6. Step 6: Final answer
    x = 664.21

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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.