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Finding the Fourth Proportional to 467.73, 643.85 and 404.69

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Solution

The fourth proportional to 467.73, 643.85 and 404.69 is: 557.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.73 : 643.85 = 404.69 : x
  2. Step 2: Convert to fraction form
    467.73/643.85 = 404.69/x
  3. Step 3: Cross multiply
    467.73x = 643.85 × 404.69
  4. Step 4: Simplify right side
    467.73x = 260,554.41
  5. Step 5: Solve for x
    x = 260,554.41/467.73
  6. Step 6: Final answer
    x = 557.06

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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.