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Finding the Fourth Proportional to 506.89, 699.69 and 341.25

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Solution

The fourth proportional to 506.89, 699.69 and 341.25 is: 471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.89 : 699.69 = 341.25 : x
  2. Step 2: Convert to fraction form
    506.89/699.69 = 341.25/x
  3. Step 3: Cross multiply
    506.89x = 699.69 × 341.25
  4. Step 4: Simplify right side
    506.89x = 238,769.21
  5. Step 5: Solve for x
    x = 238,769.21/506.89
  6. Step 6: Final answer
    x = 471.05

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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.