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Finding the Fourth Proportional to 506.91, 699.77 and 341.23

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Solution

The fourth proportional to 506.91, 699.77 and 341.23 is: 471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.91 : 699.77 = 341.23 : x
  2. Step 2: Convert to fraction form
    506.91/699.77 = 341.23/x
  3. Step 3: Cross multiply
    506.91x = 699.77 × 341.23
  4. Step 4: Simplify right side
    506.91x = 238,782.52
  5. Step 5: Solve for x
    x = 238,782.52/506.91
  6. Step 6: Final answer
    x = 471.06

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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.