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Finding the Fourth Proportional to 559.27, 769.06 and 485.46

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Solution

The fourth proportional to 559.27, 769.06 and 485.46 is: 667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.27 : 769.06 = 485.46 : x
  2. Step 2: Convert to fraction form
    559.27/769.06 = 485.46/x
  3. Step 3: Cross multiply
    559.27x = 769.06 × 485.46
  4. Step 4: Simplify right side
    559.27x = 373,346.65
  5. Step 5: Solve for x
    x = 373,346.65/559.27
  6. Step 6: Final answer
    x = 667.56

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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.