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Finding the Fourth Proportional to 905.85, 1,359.05 and 385.58

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Solution

The fourth proportional to 905.85, 1,359.05 and 385.58 is: 578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.85 : 1,359.05 = 385.58 : x
  2. Step 2: Convert to fraction form
    905.85/1,359.05 = 385.58/x
  3. Step 3: Cross multiply
    905.85x = 1,359.05 × 385.58
  4. Step 4: Simplify right side
    905.85x = 524,023.97
  5. Step 5: Solve for x
    x = 524,023.97/905.85
  6. Step 6: Final answer
    x = 578.49

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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.