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Finding the Fourth Proportional to 404.78, 556.74 and 369.95

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Solution

The fourth proportional to 404.78, 556.74 and 369.95 is: 508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.78 : 556.74 = 369.95 : x
  2. Step 2: Convert to fraction form
    404.78/556.74 = 369.95/x
  3. Step 3: Cross multiply
    404.78x = 556.74 × 369.95
  4. Step 4: Simplify right side
    404.78x = 205,965.96
  5. Step 5: Solve for x
    x = 205,965.96/404.78
  6. Step 6: Final answer
    x = 508.83

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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.