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Finding the Fourth Proportional to 901.11, 1,351.65 and 438.81

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Solution

The fourth proportional to 901.11, 1,351.65 and 438.81 is: 658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.11 : 1,351.65 = 438.81 : x
  2. Step 2: Convert to fraction form
    901.11/1,351.65 = 438.81/x
  3. Step 3: Cross multiply
    901.11x = 1,351.65 × 438.81
  4. Step 4: Simplify right side
    901.11x = 593,117.54
  5. Step 5: Solve for x
    x = 593,117.54/901.11
  6. Step 6: Final answer
    x = 658.21

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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.