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Finding the Fourth Proportional to 901.24, 1,351.85 and 414.22

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Solution

The fourth proportional to 901.24, 1,351.85 and 414.22 is: 621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.24 : 1,351.85 = 414.22 : x
  2. Step 2: Convert to fraction form
    901.24/1,351.85 = 414.22/x
  3. Step 3: Cross multiply
    901.24x = 1,351.85 × 414.22
  4. Step 4: Simplify right side
    901.24x = 559,963.31
  5. Step 5: Solve for x
    x = 559,963.31/901.24
  6. Step 6: Final answer
    x = 621.33

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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.