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Finding the Fourth Proportional to 605.13, 836.67 and 506.70

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Solution

The fourth proportional to 605.13, 836.67 and 506.70 is: 700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.13 : 836.67 = 506.70 : x
  2. Step 2: Convert to fraction form
    605.13/836.67 = 506.70/x
  3. Step 3: Cross multiply
    605.13x = 836.67 × 506.70
  4. Step 4: Simplify right side
    605.13x = 423,940.69
  5. Step 5: Solve for x
    x = 423,940.69/605.13
  6. Step 6: Final answer
    x = 700.58

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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.