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Finding the Fourth Proportional to 907.40, 1,361.28 and 330.26

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Solution

The fourth proportional to 907.40, 1,361.28 and 330.26 is: 495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.40 : 1,361.28 = 330.26 : x
  2. Step 2: Convert to fraction form
    907.40/1,361.28 = 330.26/x
  3. Step 3: Cross multiply
    907.40x = 1,361.28 × 330.26
  4. Step 4: Simplify right side
    907.40x = 449,576.33
  5. Step 5: Solve for x
    x = 449,576.33/907.40
  6. Step 6: Final answer
    x = 495.46

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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.