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Finding the Fourth Proportional to 905.88, 1,355.90 and 820.62

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Solution

The fourth proportional to 905.88, 1,355.90 and 820.62 is: 1,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.88 : 1,355.90 = 820.62 : x
  2. Step 2: Convert to fraction form
    905.88/1,355.90 = 820.62/x
  3. Step 3: Cross multiply
    905.88x = 1,355.90 × 820.62
  4. Step 4: Simplify right side
    905.88x = 1,112,678.66
  5. Step 5: Solve for x
    x = 1,112,678.66/905.88
  6. Step 6: Final answer
    x = 1,228.28

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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.