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Finding the Fourth Proportional to 907.35, 1,361.69 and 414.31

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Solution

The fourth proportional to 907.35, 1,361.69 and 414.31 is: 621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.35 : 1,361.69 = 414.31 : x
  2. Step 2: Convert to fraction form
    907.35/1,361.69 = 414.31/x
  3. Step 3: Cross multiply
    907.35x = 1,361.69 × 414.31
  4. Step 4: Simplify right side
    907.35x = 564,161.78
  5. Step 5: Solve for x
    x = 564,161.78/907.35
  6. Step 6: Final answer
    x = 621.77

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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.