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Finding the Fourth Proportional to 506.69, 699.20 and 307.56

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Solution

The fourth proportional to 506.69, 699.20 and 307.56 is: 424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.69 : 699.20 = 307.56 : x
  2. Step 2: Convert to fraction form
    506.69/699.20 = 307.56/x
  3. Step 3: Cross multiply
    506.69x = 699.20 × 307.56
  4. Step 4: Simplify right side
    506.69x = 215,048.19
  5. Step 5: Solve for x
    x = 215,048.19/506.69
  6. Step 6: Final answer
    x = 424.42

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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.