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Finding the Fourth Proportional to 1,359.12, 2,038.56 and 447.12

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Solution

The fourth proportional to 1,359.12, 2,038.56 and 447.12 is: 670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.12 : 2,038.56 = 447.12 : x
  2. Step 2: Convert to fraction form
    1,359.12/2,038.56 = 447.12/x
  3. Step 3: Cross multiply
    1,359.12x = 2,038.56 × 447.12
  4. Step 4: Simplify right side
    1,359.12x = 911,480.95
  5. Step 5: Solve for x
    x = 911,480.95/1,359.12
  6. Step 6: Final answer
    x = 670.64

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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.