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Finding the Fourth Proportional to 907.94, 1,361.92 and 475.14

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Solution

The fourth proportional to 907.94, 1,361.92 and 475.14 is: 712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.94 : 1,361.92 = 475.14 : x
  2. Step 2: Convert to fraction form
    907.94/1,361.92 = 475.14/x
  3. Step 3: Cross multiply
    907.94x = 1,361.92 × 475.14
  4. Step 4: Simplify right side
    907.94x = 647,102.67
  5. Step 5: Solve for x
    x = 647,102.67/907.94
  6. Step 6: Final answer
    x = 712.72

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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.