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Finding the Fourth Proportional to 935.57, 1,406.39 and 906.41

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Solution

The fourth proportional to 935.57, 1,406.39 and 906.41 is: 1,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.57 : 1,406.39 = 906.41 : x
  2. Step 2: Convert to fraction form
    935.57/1,406.39 = 906.41/x
  3. Step 3: Cross multiply
    935.57x = 1,406.39 × 906.41
  4. Step 4: Simplify right side
    935.57x = 1,274,754.40
  5. Step 5: Solve for x
    x = 1,274,754.40/935.57
  6. Step 6: Final answer
    x = 1,362.55

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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.