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Finding the Fourth Proportional to 789.63, 1,087.63 and 601.31

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Solution

The fourth proportional to 789.63, 1,087.63 and 601.31 is: 828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.63 : 1,087.63 = 601.31 : x
  2. Step 2: Convert to fraction form
    789.63/1,087.63 = 601.31/x
  3. Step 3: Cross multiply
    789.63x = 1,087.63 × 601.31
  4. Step 4: Simplify right side
    789.63x = 653,995.85
  5. Step 5: Solve for x
    x = 653,995.85/789.63
  6. Step 6: Final answer
    x = 828.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.