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Finding the Fourth Proportional to 959.11, 1,438.39 and 309.76

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Solution

The fourth proportional to 959.11, 1,438.39 and 309.76 is: 464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.11 : 1,438.39 = 309.76 : x
  2. Step 2: Convert to fraction form
    959.11/1,438.39 = 309.76/x
  3. Step 3: Cross multiply
    959.11x = 1,438.39 × 309.76
  4. Step 4: Simplify right side
    959.11x = 445,552.48
  5. Step 5: Solve for x
    x = 445,552.48/959.11
  6. Step 6: Final answer
    x = 464.55

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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.