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Finding the Fourth Proportional to 506.80, 698.98 and 340.88

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Solution

The fourth proportional to 506.80, 698.98 and 340.88 is: 470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.80 : 698.98 = 340.88 : x
  2. Step 2: Convert to fraction form
    506.80/698.98 = 340.88/x
  3. Step 3: Cross multiply
    506.80x = 698.98 × 340.88
  4. Step 4: Simplify right side
    506.80x = 238,268.30
  5. Step 5: Solve for x
    x = 238,268.30/506.80
  6. Step 6: Final answer
    x = 470.14

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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.