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Finding the Fourth Proportional to 506.28, 697.82 and 340.42

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Solution

The fourth proportional to 506.28, 697.82 and 340.42 is: 469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.28 : 697.82 = 340.42 : x
  2. Step 2: Convert to fraction form
    506.28/697.82 = 340.42/x
  3. Step 3: Cross multiply
    506.28x = 697.82 × 340.42
  4. Step 4: Simplify right side
    506.28x = 237,551.88
  5. Step 5: Solve for x
    x = 237,551.88/506.28
  6. Step 6: Final answer
    x = 469.21

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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.