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Finding the Fourth Proportional to 894.33, 1,340.42 and 380.25

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Solution

The fourth proportional to 894.33, 1,340.42 and 380.25 is: 569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.33 : 1,340.42 = 380.25 : x
  2. Step 2: Convert to fraction form
    894.33/1,340.42 = 380.25/x
  3. Step 3: Cross multiply
    894.33x = 1,340.42 × 380.25
  4. Step 4: Simplify right side
    894.33x = 509,692.80
  5. Step 5: Solve for x
    x = 509,692.80/894.33
  6. Step 6: Final answer
    x = 569.92

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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.