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Finding the Fourth Proportional to 559.01, 839.46 and 397.28

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Solution

The fourth proportional to 559.01, 839.46 and 397.28 is: 596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.01 : 839.46 = 397.28 : x
  2. Step 2: Convert to fraction form
    559.01/839.46 = 397.28/x
  3. Step 3: Cross multiply
    559.01x = 839.46 × 397.28
  4. Step 4: Simplify right side
    559.01x = 333,500.67
  5. Step 5: Solve for x
    x = 333,500.67/559.01
  6. Step 6: Final answer
    x = 596.59

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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.