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Finding the Fourth Proportional to 508.39, 765.36 and 347.09

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Solution

The fourth proportional to 508.39, 765.36 and 347.09 is: 522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.39 : 765.36 = 347.09 : x
  2. Step 2: Convert to fraction form
    508.39/765.36 = 347.09/x
  3. Step 3: Cross multiply
    508.39x = 765.36 × 347.09
  4. Step 4: Simplify right side
    508.39x = 265,648.80
  5. Step 5: Solve for x
    x = 265,648.80/508.39
  6. Step 6: Final answer
    x = 522.53

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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.