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Finding the Fourth Proportional to 464.72, 698.16 and 402.08

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Solution

The fourth proportional to 464.72, 698.16 and 402.08 is: 604.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.72 : 698.16 = 402.08 : x
  2. Step 2: Convert to fraction form
    464.72/698.16 = 402.08/x
  3. Step 3: Cross multiply
    464.72x = 698.16 × 402.08
  4. Step 4: Simplify right side
    464.72x = 280,716.17
  5. Step 5: Solve for x
    x = 280,716.17/464.72
  6. Step 6: Final answer
    x = 604.05

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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.