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Finding the Fourth Proportional to 969.38, 1,454.15 and 384.41

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Solution

The fourth proportional to 969.38, 1,454.15 and 384.41 is: 576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.38 : 1,454.15 = 384.41 : x
  2. Step 2: Convert to fraction form
    969.38/1,454.15 = 384.41/x
  3. Step 3: Cross multiply
    969.38x = 1,454.15 × 384.41
  4. Step 4: Simplify right side
    969.38x = 558,989.80
  5. Step 5: Solve for x
    x = 558,989.80/969.38
  6. Step 6: Final answer
    x = 576.65

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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.