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Finding the Fourth Proportional to 464.69, 699.79 and 404.55

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Solution

The fourth proportional to 464.69, 699.79 and 404.55 is: 609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.69 : 699.79 = 404.55 : x
  2. Step 2: Convert to fraction form
    464.69/699.79 = 404.55/x
  3. Step 3: Cross multiply
    464.69x = 699.79 × 404.55
  4. Step 4: Simplify right side
    464.69x = 283,100.04
  5. Step 5: Solve for x
    x = 283,100.04/464.69
  6. Step 6: Final answer
    x = 609.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.