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Finding the Fourth Proportional to 404.78, 602.82 and 402.44

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Solution

The fourth proportional to 404.78, 602.82 and 402.44 is: 599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.78 : 602.82 = 402.44 : x
  2. Step 2: Convert to fraction form
    404.78/602.82 = 402.44/x
  3. Step 3: Cross multiply
    404.78x = 602.82 × 402.44
  4. Step 4: Simplify right side
    404.78x = 242,595.87
  5. Step 5: Solve for x
    x = 242,595.87/404.78
  6. Step 6: Final answer
    x = 599.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.