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Finding the Fourth Proportional to 559.39, 771.33 and 507.55

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Solution

The fourth proportional to 559.39, 771.33 and 507.55 is: 699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.39 : 771.33 = 507.55 : x
  2. Step 2: Convert to fraction form
    559.39/771.33 = 507.55/x
  3. Step 3: Cross multiply
    559.39x = 771.33 × 507.55
  4. Step 4: Simplify right side
    559.39x = 391,488.54
  5. Step 5: Solve for x
    x = 391,488.54/559.39
  6. Step 6: Final answer
    x = 699.85

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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.