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Finding the Fourth Proportional to 1,626.67, 2,438.25 and 803.17

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Solution

The fourth proportional to 1,626.67, 2,438.25 and 803.17 is: 1,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.67 : 2,438.25 = 803.17 : x
  2. Step 2: Convert to fraction form
    1,626.67/2,438.25 = 803.17/x
  3. Step 3: Cross multiply
    1,626.67x = 2,438.25 × 803.17
  4. Step 4: Simplify right side
    1,626.67x = 1,958,329.25
  5. Step 5: Solve for x
    x = 1,958,329.25/1,626.67
  6. Step 6: Final answer
    x = 1,203.89

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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.