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Finding the Fourth Proportional to 506.56, 699.28 and 340.88

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Solution

The fourth proportional to 506.56, 699.28 and 340.88 is: 470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.56 : 699.28 = 340.88 : x
  2. Step 2: Convert to fraction form
    506.56/699.28 = 340.88/x
  3. Step 3: Cross multiply
    506.56x = 699.28 × 340.88
  4. Step 4: Simplify right side
    506.56x = 238,370.57
  5. Step 5: Solve for x
    x = 238,370.57/506.56
  6. Step 6: Final answer
    x = 470.57

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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.