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Finding the Fourth Proportional to 907.87, 1,361.98 and 387.86

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Solution

The fourth proportional to 907.87, 1,361.98 and 387.86 is: 581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.87 : 1,361.98 = 387.86 : x
  2. Step 2: Convert to fraction form
    907.87/1,361.98 = 387.86/x
  3. Step 3: Cross multiply
    907.87x = 1,361.98 × 387.86
  4. Step 4: Simplify right side
    907.87x = 528,257.56
  5. Step 5: Solve for x
    x = 528,257.56/907.87
  6. Step 6: Final answer
    x = 581.86

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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.