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Finding the Fourth Proportional to 933.47, 1,399.39 and 356.75

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Solution

The fourth proportional to 933.47, 1,399.39 and 356.75 is: 534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.47 : 1,399.39 = 356.75 : x
  2. Step 2: Convert to fraction form
    933.47/1,399.39 = 356.75/x
  3. Step 3: Cross multiply
    933.47x = 1,399.39 × 356.75
  4. Step 4: Simplify right side
    933.47x = 499,232.38
  5. Step 5: Solve for x
    x = 499,232.38/933.47
  6. Step 6: Final answer
    x = 534.81

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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.