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Finding the Fourth Proportional to 464.34, 696.82 and 418.78

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Solution

The fourth proportional to 464.34, 696.82 and 418.78 is: 628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.34 : 696.82 = 418.78 : x
  2. Step 2: Convert to fraction form
    464.34/696.82 = 418.78/x
  3. Step 3: Cross multiply
    464.34x = 696.82 × 418.78
  4. Step 4: Simplify right side
    464.34x = 291,814.28
  5. Step 5: Solve for x
    x = 291,814.28/464.34
  6. Step 6: Final answer
    x = 628.45

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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.