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Finding the Fourth Proportional to 1,438.28, 1,984.72 and 817.28

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Solution

The fourth proportional to 1,438.28, 1,984.72 and 817.28 is: 1,127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.28 : 1,984.72 = 817.28 : x
  2. Step 2: Convert to fraction form
    1,438.28/1,984.72 = 817.28/x
  3. Step 3: Cross multiply
    1,438.28x = 1,984.72 × 817.28
  4. Step 4: Simplify right side
    1,438.28x = 1,622,071.96
  5. Step 5: Solve for x
    x = 1,622,071.96/1,438.28
  6. Step 6: Final answer
    x = 1,127.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.