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Finding the Fourth Proportional to 506.39, 762.35 and 345.09

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Solution

The fourth proportional to 506.39, 762.35 and 345.09 is: 519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.39 : 762.35 = 345.09 : x
  2. Step 2: Convert to fraction form
    506.39/762.35 = 345.09/x
  3. Step 3: Cross multiply
    506.39x = 762.35 × 345.09
  4. Step 4: Simplify right side
    506.39x = 263,080.49
  5. Step 5: Solve for x
    x = 263,080.49/506.39
  6. Step 6: Final answer
    x = 519.53

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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.