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Finding the Fourth Proportional to 1,361.00, 2,041.50 and 387.11

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Solution

The fourth proportional to 1,361.00, 2,041.50 and 387.11 is: 580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.00 : 2,041.50 = 387.11 : x
  2. Step 2: Convert to fraction form
    1,361.00/2,041.50 = 387.11/x
  3. Step 3: Cross multiply
    1,361.00x = 2,041.50 × 387.11
  4. Step 4: Simplify right side
    1,361.00x = 790,274.86
  5. Step 5: Solve for x
    x = 790,274.86/1,361.00
  6. Step 6: Final answer
    x = 580.66

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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.