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Finding the Fourth Proportional to 464.51, 699.51 and 404.37

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Solution

The fourth proportional to 464.51, 699.51 and 404.37 is: 608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.51 : 699.51 = 404.37 : x
  2. Step 2: Convert to fraction form
    464.51/699.51 = 404.37/x
  3. Step 3: Cross multiply
    464.51x = 699.51 × 404.37
  4. Step 4: Simplify right side
    464.51x = 282,857.36
  5. Step 5: Solve for x
    x = 282,857.36/464.51
  6. Step 6: Final answer
    x = 608.94

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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.