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Finding the Fourth Proportional to 435.18, 649.29 and 414.54

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Solution

The fourth proportional to 435.18, 649.29 and 414.54 is: 618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.18 : 649.29 = 414.54 : x
  2. Step 2: Convert to fraction form
    435.18/649.29 = 414.54/x
  3. Step 3: Cross multiply
    435.18x = 649.29 × 414.54
  4. Step 4: Simplify right side
    435.18x = 269,156.68
  5. Step 5: Solve for x
    x = 269,156.68/435.18
  6. Step 6: Final answer
    x = 618.50

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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.