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Finding the Fourth Proportional to 907.11, 1,361.61 and 578.43

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Solution

The fourth proportional to 907.11, 1,361.61 and 578.43 is: 868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.11 : 1,361.61 = 578.43 : x
  2. Step 2: Convert to fraction form
    907.11/1,361.61 = 578.43/x
  3. Step 3: Cross multiply
    907.11x = 1,361.61 × 578.43
  4. Step 4: Simplify right side
    907.11x = 787,596.07
  5. Step 5: Solve for x
    x = 787,596.07/907.11
  6. Step 6: Final answer
    x = 868.25

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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.