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Finding the Fourth Proportional to 464.54, 699.55 and 404.39

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Solution

The fourth proportional to 464.54, 699.55 and 404.39 is: 608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.54 : 699.55 = 404.39 : x
  2. Step 2: Convert to fraction form
    464.54/699.55 = 404.39/x
  3. Step 3: Cross multiply
    464.54x = 699.55 × 404.39
  4. Step 4: Simplify right side
    464.54x = 282,894.04
  5. Step 5: Solve for x
    x = 282,894.04/464.54
  6. Step 6: Final answer
    x = 608.98

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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.