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Finding the Fourth Proportional to 1,220.72, 1,828.44 and 642.38

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Solution

The fourth proportional to 1,220.72, 1,828.44 and 642.38 is: 962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.72 : 1,828.44 = 642.38 : x
  2. Step 2: Convert to fraction form
    1,220.72/1,828.44 = 642.38/x
  3. Step 3: Cross multiply
    1,220.72x = 1,828.44 × 642.38
  4. Step 4: Simplify right side
    1,220.72x = 1,174,544.15
  5. Step 5: Solve for x
    x = 1,174,544.15/1,220.72
  6. Step 6: Final answer
    x = 962.18

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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.