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Finding the Fourth Proportional to 404.97, 604.54 and 387.24

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Solution

The fourth proportional to 404.97, 604.54 and 387.24 is: 578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.97 : 604.54 = 387.24 : x
  2. Step 2: Convert to fraction form
    404.97/604.54 = 387.24/x
  3. Step 3: Cross multiply
    404.97x = 604.54 × 387.24
  4. Step 4: Simplify right side
    404.97x = 234,102.07
  5. Step 5: Solve for x
    x = 234,102.07/404.97
  6. Step 6: Final answer
    x = 578.07

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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.