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Finding the Fourth Proportional to 905.48, 1,358.23 and 385.37

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Solution

The fourth proportional to 905.48, 1,358.23 and 385.37 is: 578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.48 : 1,358.23 = 385.37 : x
  2. Step 2: Convert to fraction form
    905.48/1,358.23 = 385.37/x
  3. Step 3: Cross multiply
    905.48x = 1,358.23 × 385.37
  4. Step 4: Simplify right side
    905.48x = 523,421.10
  5. Step 5: Solve for x
    x = 523,421.10/905.48
  6. Step 6: Final answer
    x = 578.06

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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.