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Finding the Fourth Proportional to 789.37, 1,185.31 and 616.46

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Solution

The fourth proportional to 789.37, 1,185.31 and 616.46 is: 925.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.37 : 1,185.31 = 616.46 : x
  2. Step 2: Convert to fraction form
    789.37/1,185.31 = 616.46/x
  3. Step 3: Cross multiply
    789.37x = 1,185.31 × 616.46
  4. Step 4: Simplify right side
    789.37x = 730,695.98
  5. Step 5: Solve for x
    x = 730,695.98/789.37
  6. Step 6: Final answer
    x = 925.67

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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.