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Finding the Fourth Proportional to 933.21, 1,399.70 and 385.32

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Solution

The fourth proportional to 933.21, 1,399.70 and 385.32 is: 577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.21 : 1,399.70 = 385.32 : x
  2. Step 2: Convert to fraction form
    933.21/1,399.70 = 385.32/x
  3. Step 3: Cross multiply
    933.21x = 1,399.70 × 385.32
  4. Step 4: Simplify right side
    933.21x = 539,330.48
  5. Step 5: Solve for x
    x = 539,330.48/933.21
  6. Step 6: Final answer
    x = 577.93

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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.