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Finding the Fourth Proportional to 434.89, 655.51 and 409.78

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Solution

The fourth proportional to 434.89, 655.51 and 409.78 is: 617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.89 : 655.51 = 409.78 : x
  2. Step 2: Convert to fraction form
    434.89/655.51 = 409.78/x
  3. Step 3: Cross multiply
    434.89x = 655.51 × 409.78
  4. Step 4: Simplify right side
    434.89x = 268,609.56
  5. Step 5: Solve for x
    x = 268,609.56/434.89
  6. Step 6: Final answer
    x = 617.66

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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.