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Finding the Fourth Proportional to 1,361.13, 2,041.92 and 436.71

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Solution

The fourth proportional to 1,361.13, 2,041.92 and 436.71 is: 655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.13 : 2,041.92 = 436.71 : x
  2. Step 2: Convert to fraction form
    1,361.13/2,041.92 = 436.71/x
  3. Step 3: Cross multiply
    1,361.13x = 2,041.92 × 436.71
  4. Step 4: Simplify right side
    1,361.13x = 891,726.88
  5. Step 5: Solve for x
    x = 891,726.88/1,361.13
  6. Step 6: Final answer
    x = 655.14

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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.