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Finding the Fourth Proportional to 957.62, 1,436.82 and 380.90

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Solution

The fourth proportional to 957.62, 1,436.82 and 380.90 is: 571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.62 : 1,436.82 = 380.90 : x
  2. Step 2: Convert to fraction form
    957.62/1,436.82 = 380.90/x
  3. Step 3: Cross multiply
    957.62x = 1,436.82 × 380.90
  4. Step 4: Simplify right side
    957.62x = 547,284.74
  5. Step 5: Solve for x
    x = 547,284.74/957.62
  6. Step 6: Final answer
    x = 571.51

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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.