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Finding the Fourth Proportional to 1,372.81, 2,059.40 and 448.06

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Solution

The fourth proportional to 1,372.81, 2,059.40 and 448.06 is: 672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.81 : 2,059.40 = 448.06 : x
  2. Step 2: Convert to fraction form
    1,372.81/2,059.40 = 448.06/x
  3. Step 3: Cross multiply
    1,372.81x = 2,059.40 × 448.06
  4. Step 4: Simplify right side
    1,372.81x = 922,734.76
  5. Step 5: Solve for x
    x = 922,734.76/1,372.81
  6. Step 6: Final answer
    x = 672.15

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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.