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Finding the Fourth Proportional to 634.04, 871.44 and 559.91

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Solution

The fourth proportional to 634.04, 871.44 and 559.91 is: 769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.04 : 871.44 = 559.91 : x
  2. Step 2: Convert to fraction form
    634.04/871.44 = 559.91/x
  3. Step 3: Cross multiply
    634.04x = 871.44 × 559.91
  4. Step 4: Simplify right side
    634.04x = 487,927.97
  5. Step 5: Solve for x
    x = 487,927.97/634.04
  6. Step 6: Final answer
    x = 769.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.