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Finding the Fourth Proportional to 404.86, 557.67 and 377.98

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Solution

The fourth proportional to 404.86, 557.67 and 377.98 is: 520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.86 : 557.67 = 377.98 : x
  2. Step 2: Convert to fraction form
    404.86/557.67 = 377.98/x
  3. Step 3: Cross multiply
    404.86x = 557.67 × 377.98
  4. Step 4: Simplify right side
    404.86x = 210,788.11
  5. Step 5: Solve for x
    x = 210,788.11/404.86
  6. Step 6: Final answer
    x = 520.64

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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.