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Finding the Fourth Proportional to 1,361.30, 2,041.95 and 495.50

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Solution

The fourth proportional to 1,361.30, 2,041.95 and 495.50 is: 743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.30 : 2,041.95 = 495.50 : x
  2. Step 2: Convert to fraction form
    1,361.30/2,041.95 = 495.50/x
  3. Step 3: Cross multiply
    1,361.30x = 2,041.95 × 495.50
  4. Step 4: Simplify right side
    1,361.30x = 1,011,786.23
  5. Step 5: Solve for x
    x = 1,011,786.23/1,361.30
  6. Step 6: Final answer
    x = 743.25

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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.