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Finding the Fourth Proportional to 404.52, 602.49 and 402.46

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Solution

The fourth proportional to 404.52, 602.49 and 402.46 is: 599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.52 : 602.49 = 402.46 : x
  2. Step 2: Convert to fraction form
    404.52/602.49 = 402.46/x
  3. Step 3: Cross multiply
    404.52x = 602.49 × 402.46
  4. Step 4: Simplify right side
    404.52x = 242,478.13
  5. Step 5: Solve for x
    x = 242,478.13/404.52
  6. Step 6: Final answer
    x = 599.42

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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.