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Finding the Fourth Proportional to 959.28, 1,438.89 and 275.28

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Solution

The fourth proportional to 959.28, 1,438.89 and 275.28 is: 412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.28 : 1,438.89 = 275.28 : x
  2. Step 2: Convert to fraction form
    959.28/1,438.89 = 275.28/x
  3. Step 3: Cross multiply
    959.28x = 1,438.89 × 275.28
  4. Step 4: Simplify right side
    959.28x = 396,097.64
  5. Step 5: Solve for x
    x = 396,097.64/959.28
  6. Step 6: Final answer
    x = 412.91

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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.