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Finding the Fourth Proportional to 935.28, 1,399.86 and 845.46

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Solution

The fourth proportional to 935.28, 1,399.86 and 845.46 is: 1,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.28 : 1,399.86 = 845.46 : x
  2. Step 2: Convert to fraction form
    935.28/1,399.86 = 845.46/x
  3. Step 3: Cross multiply
    935.28x = 1,399.86 × 845.46
  4. Step 4: Simplify right side
    935.28x = 1,183,525.64
  5. Step 5: Solve for x
    x = 1,183,525.64/935.28
  6. Step 6: Final answer
    x = 1,265.42

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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.