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Finding the Fourth Proportional to 435.34, 656.23 and 410.26

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Solution

The fourth proportional to 435.34, 656.23 and 410.26 is: 618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.34 : 656.23 = 410.26 : x
  2. Step 2: Convert to fraction form
    435.34/656.23 = 410.26/x
  3. Step 3: Cross multiply
    435.34x = 656.23 × 410.26
  4. Step 4: Simplify right side
    435.34x = 269,224.92
  5. Step 5: Solve for x
    x = 269,224.92/435.34
  6. Step 6: Final answer
    x = 618.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.