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Finding the Fourth Proportional to 506.39, 762.33 and 345.11

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Solution

The fourth proportional to 506.39, 762.33 and 345.11 is: 519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.39 : 762.33 = 345.11 : x
  2. Step 2: Convert to fraction form
    506.39/762.33 = 345.11/x
  3. Step 3: Cross multiply
    506.39x = 762.33 × 345.11
  4. Step 4: Simplify right side
    506.39x = 263,085.19
  5. Step 5: Solve for x
    x = 263,085.19/506.39
  6. Step 6: Final answer
    x = 519.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.