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Finding the Fourth Proportional to 467.11, 642.69 and 404.74

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Solution

The fourth proportional to 467.11, 642.69 and 404.74 is: 556.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.11 : 642.69 = 404.74 : x
  2. Step 2: Convert to fraction form
    467.11/642.69 = 404.74/x
  3. Step 3: Cross multiply
    467.11x = 642.69 × 404.74
  4. Step 4: Simplify right side
    467.11x = 260,122.35
  5. Step 5: Solve for x
    x = 260,122.35/467.11
  6. Step 6: Final answer
    x = 556.88

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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.