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Finding the Fourth Proportional to 464.78, 698.08 and 439.58

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Solution

The fourth proportional to 464.78, 698.08 and 439.58 is: 660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.78 : 698.08 = 439.58 : x
  2. Step 2: Convert to fraction form
    464.78/698.08 = 439.58/x
  3. Step 3: Cross multiply
    464.78x = 698.08 × 439.58
  4. Step 4: Simplify right side
    464.78x = 306,862.01
  5. Step 5: Solve for x
    x = 306,862.01/464.78
  6. Step 6: Final answer
    x = 660.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.