Home / 1,219.10-1,828.17-438.98

Finding the Fourth Proportional to 1,219.10, 1,828.17 and 438.98

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Solution

The fourth proportional to 1,219.10, 1,828.17 and 438.98 is: 658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.10 : 1,828.17 = 438.98 : x
  2. Step 2: Convert to fraction form
    1,219.10/1,828.17 = 438.98/x
  3. Step 3: Cross multiply
    1,219.10x = 1,828.17 × 438.98
  4. Step 4: Simplify right side
    1,219.10x = 802,520.93
  5. Step 5: Solve for x
    x = 802,520.93/1,219.10
  6. Step 6: Final answer
    x = 658.29

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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.