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Finding the Fourth Proportional to 1,362.42, 2,043.98 and 438.11

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Solution

The fourth proportional to 1,362.42, 2,043.98 and 438.11 is: 657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.42 : 2,043.98 = 438.11 : x
  2. Step 2: Convert to fraction form
    1,362.42/2,043.98 = 438.11/x
  3. Step 3: Cross multiply
    1,362.42x = 2,043.98 × 438.11
  4. Step 4: Simplify right side
    1,362.42x = 895,475.67
  5. Step 5: Solve for x
    x = 895,475.67/1,362.42
  6. Step 6: Final answer
    x = 657.27

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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.