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Finding the Fourth Proportional to 559.64, 771.62 and 472.12

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Solution

The fourth proportional to 559.64, 771.62 and 472.12 is: 650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.64 : 771.62 = 472.12 : x
  2. Step 2: Convert to fraction form
    559.64/771.62 = 472.12/x
  3. Step 3: Cross multiply
    559.64x = 771.62 × 472.12
  4. Step 4: Simplify right side
    559.64x = 364,297.23
  5. Step 5: Solve for x
    x = 364,297.23/559.64
  6. Step 6: Final answer
    x = 650.95

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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.