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Finding the Fourth Proportional to 563.82, 778.42 and 364.74

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Solution

The fourth proportional to 563.82, 778.42 and 364.74 is: 503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.82 : 778.42 = 364.74 : x
  2. Step 2: Convert to fraction form
    563.82/778.42 = 364.74/x
  3. Step 3: Cross multiply
    563.82x = 778.42 × 364.74
  4. Step 4: Simplify right side
    563.82x = 283,920.91
  5. Step 5: Solve for x
    x = 283,920.91/563.82
  6. Step 6: Final answer
    x = 503.57

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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.