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Finding the Fourth Proportional to 559.39, 771.82 and 362.88

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Solution

The fourth proportional to 559.39, 771.82 and 362.88 is: 500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.39 : 771.82 = 362.88 : x
  2. Step 2: Convert to fraction form
    559.39/771.82 = 362.88/x
  3. Step 3: Cross multiply
    559.39x = 771.82 × 362.88
  4. Step 4: Simplify right side
    559.39x = 280,078.04
  5. Step 5: Solve for x
    x = 280,078.04/559.39
  6. Step 6: Final answer
    x = 500.68

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1.5x scale

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.