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Finding the Fourth Proportional to 559.87, 772.20 and 471.82

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Solution

The fourth proportional to 559.87, 772.20 and 471.82 is: 650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.87 : 772.20 = 471.82 : x
  2. Step 2: Convert to fraction form
    559.87/772.20 = 471.82/x
  3. Step 3: Cross multiply
    559.87x = 772.20 × 471.82
  4. Step 4: Simplify right side
    559.87x = 364,339.40
  5. Step 5: Solve for x
    x = 364,339.40/559.87
  6. Step 6: Final answer
    x = 650.76

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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.