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Finding the Fourth Proportional to 933.03, 1,399.41 and 385.11

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Solution

The fourth proportional to 933.03, 1,399.41 and 385.11 is: 577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.03 : 1,399.41 = 385.11 : x
  2. Step 2: Convert to fraction form
    933.03/1,399.41 = 385.11/x
  3. Step 3: Cross multiply
    933.03x = 1,399.41 × 385.11
  4. Step 4: Simplify right side
    933.03x = 538,926.79
  5. Step 5: Solve for x
    x = 538,926.79/933.03
  6. Step 6: Final answer
    x = 577.61

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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.