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Finding the Fourth Proportional to 506.80, 699.66 and 320.56

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Solution

The fourth proportional to 506.80, 699.66 and 320.56 is: 442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.80 : 699.66 = 320.56 : x
  2. Step 2: Convert to fraction form
    506.80/699.66 = 320.56/x
  3. Step 3: Cross multiply
    506.80x = 699.66 × 320.56
  4. Step 4: Simplify right side
    506.80x = 224,283.01
  5. Step 5: Solve for x
    x = 224,283.01/506.80
  6. Step 6: Final answer
    x = 442.55

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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.