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Finding the Fourth Proportional to 559.52, 842.25 and 398.32

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Solution

The fourth proportional to 559.52, 842.25 and 398.32 is: 599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.52 : 842.25 = 398.32 : x
  2. Step 2: Convert to fraction form
    559.52/842.25 = 398.32/x
  3. Step 3: Cross multiply
    559.52x = 842.25 × 398.32
  4. Step 4: Simplify right side
    559.52x = 335,483.03
  5. Step 5: Solve for x
    x = 335,483.03/559.52
  6. Step 6: Final answer
    x = 599.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.