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Finding the Fourth Proportional to 920.33, 1,380.73 and 400.21

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Solution

The fourth proportional to 920.33, 1,380.73 and 400.21 is: 600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.33 : 1,380.73 = 400.21 : x
  2. Step 2: Convert to fraction form
    920.33/1,380.73 = 400.21/x
  3. Step 3: Cross multiply
    920.33x = 1,380.73 × 400.21
  4. Step 4: Simplify right side
    920.33x = 552,581.95
  5. Step 5: Solve for x
    x = 552,581.95/920.33
  6. Step 6: Final answer
    x = 600.42

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1.5x scale

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.