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Finding the Fourth Proportional to 559.57, 772.44 and 377.71

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Solution

The fourth proportional to 559.57, 772.44 and 377.71 is: 521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.57 : 772.44 = 377.71 : x
  2. Step 2: Convert to fraction form
    559.57/772.44 = 377.71/x
  3. Step 3: Cross multiply
    559.57x = 772.44 × 377.71
  4. Step 4: Simplify right side
    559.57x = 291,756.91
  5. Step 5: Solve for x
    x = 291,756.91/559.57
  6. Step 6: Final answer
    x = 521.39

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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.