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Finding the Fourth Proportional to 404.87, 604.64 and 400.61

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Solution

The fourth proportional to 404.87, 604.64 and 400.61 is: 598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.87 : 604.64 = 400.61 : x
  2. Step 2: Convert to fraction form
    404.87/604.64 = 400.61/x
  3. Step 3: Cross multiply
    404.87x = 604.64 × 400.61
  4. Step 4: Simplify right side
    404.87x = 242,227.34
  5. Step 5: Solve for x
    x = 242,227.34/404.87
  6. Step 6: Final answer
    x = 598.29

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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.