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Finding the Fourth Proportional to 605.58, 836.13 and 409.46

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Solution

The fourth proportional to 605.58, 836.13 and 409.46 is: 565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.58 : 836.13 = 409.46 : x
  2. Step 2: Convert to fraction form
    605.58/836.13 = 409.46/x
  3. Step 3: Cross multiply
    605.58x = 836.13 × 409.46
  4. Step 4: Simplify right side
    605.58x = 342,361.79
  5. Step 5: Solve for x
    x = 342,361.79/605.58
  6. Step 6: Final answer
    x = 565.35

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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.