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Finding the Fourth Proportional to 464.19, 699.04 and 404.05

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Solution

The fourth proportional to 464.19, 699.04 and 404.05 is: 608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.19 : 699.04 = 404.05 : x
  2. Step 2: Convert to fraction form
    464.19/699.04 = 404.05/x
  3. Step 3: Cross multiply
    464.19x = 699.04 × 404.05
  4. Step 4: Simplify right side
    464.19x = 282,447.11
  5. Step 5: Solve for x
    x = 282,447.11/464.19
  6. Step 6: Final answer
    x = 608.47

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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.