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Finding the Fourth Proportional to 435.40, 600.89 and 409.13

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Solution

The fourth proportional to 435.40, 600.89 and 409.13 is: 564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.40 : 600.89 = 409.13 : x
  2. Step 2: Convert to fraction form
    435.40/600.89 = 409.13/x
  3. Step 3: Cross multiply
    435.40x = 600.89 × 409.13
  4. Step 4: Simplify right side
    435.40x = 245,839.33
  5. Step 5: Solve for x
    x = 245,839.33/435.40
  6. Step 6: Final answer
    x = 564.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.