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Finding the Fourth Proportional to 1,361.46, 2,042.32 and 436.98

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Solution

The fourth proportional to 1,361.46, 2,042.32 and 436.98 is: 655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.46 : 2,042.32 = 436.98 : x
  2. Step 2: Convert to fraction form
    1,361.46/2,042.32 = 436.98/x
  3. Step 3: Cross multiply
    1,361.46x = 2,042.32 × 436.98
  4. Step 4: Simplify right side
    1,361.46x = 892,452.99
  5. Step 5: Solve for x
    x = 892,452.99/1,361.46
  6. Step 6: Final answer
    x = 655.51

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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.