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Finding the Fourth Proportional to 404.36, 602.91 and 397.07

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Solution

The fourth proportional to 404.36, 602.91 and 397.07 is: 592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.36 : 602.91 = 397.07 : x
  2. Step 2: Convert to fraction form
    404.36/602.91 = 397.07/x
  3. Step 3: Cross multiply
    404.36x = 602.91 × 397.07
  4. Step 4: Simplify right side
    404.36x = 239,395.49
  5. Step 5: Solve for x
    x = 239,395.49/404.36
  6. Step 6: Final answer
    x = 592.04

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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.