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Finding the Fourth Proportional to 1,220.90, 1,685.56 and 801.98

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Solution

The fourth proportional to 1,220.90, 1,685.56 and 801.98 is: 1,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.90 : 1,685.56 = 801.98 : x
  2. Step 2: Convert to fraction form
    1,220.90/1,685.56 = 801.98/x
  3. Step 3: Cross multiply
    1,220.90x = 1,685.56 × 801.98
  4. Step 4: Simplify right side
    1,220.90x = 1,351,787.62
  5. Step 5: Solve for x
    x = 1,351,787.62/1,220.90
  6. Step 6: Final answer
    x = 1,107.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.