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Finding the Fourth Proportional to 506.88, 699.08 and 341.03

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Solution

The fourth proportional to 506.88, 699.08 and 341.03 is: 470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 699.08 = 341.03 : x
  2. Step 2: Convert to fraction form
    506.88/699.08 = 341.03/x
  3. Step 3: Cross multiply
    506.88x = 699.08 × 341.03
  4. Step 4: Simplify right side
    506.88x = 238,402.05
  5. Step 5: Solve for x
    x = 238,402.05/506.88
  6. Step 6: Final answer
    x = 470.33

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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.