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Finding the Fourth Proportional to 933.21, 1,399.86 and 385.47

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Solution

The fourth proportional to 933.21, 1,399.86 and 385.47 is: 578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.21 : 1,399.86 = 385.47 : x
  2. Step 2: Convert to fraction form
    933.21/1,399.86 = 385.47/x
  3. Step 3: Cross multiply
    933.21x = 1,399.86 × 385.47
  4. Step 4: Simplify right side
    933.21x = 539,604.03
  5. Step 5: Solve for x
    x = 539,604.03/933.21
  6. Step 6: Final answer
    x = 578.22

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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.