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Finding the Fourth Proportional to 933.85, 1,399.83 and 447.58

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Solution

The fourth proportional to 933.85, 1,399.83 and 447.58 is: 670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.85 : 1,399.83 = 447.58 : x
  2. Step 2: Convert to fraction form
    933.85/1,399.83 = 447.58/x
  3. Step 3: Cross multiply
    933.85x = 1,399.83 × 447.58
  4. Step 4: Simplify right side
    933.85x = 626,535.91
  5. Step 5: Solve for x
    x = 626,535.91/933.85
  6. Step 6: Final answer
    x = 670.92

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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.