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Finding the Fourth Proportional to 928.46, 1,399.93 and 851.90

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Solution

The fourth proportional to 928.46, 1,399.93 and 851.90 is: 1,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.46 : 1,399.93 = 851.90 : x
  2. Step 2: Convert to fraction form
    928.46/1,399.93 = 851.90/x
  3. Step 3: Cross multiply
    928.46x = 1,399.93 × 851.90
  4. Step 4: Simplify right side
    928.46x = 1,192,600.37
  5. Step 5: Solve for x
    x = 1,192,600.37/928.46
  6. Step 6: Final answer
    x = 1,284.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.