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Finding the Fourth Proportional to 513.70, 709.52 and 347.63

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Solution

The fourth proportional to 513.70, 709.52 and 347.63 is: 480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.70 : 709.52 = 347.63 : x
  2. Step 2: Convert to fraction form
    513.70/709.52 = 347.63/x
  3. Step 3: Cross multiply
    513.70x = 709.52 × 347.63
  4. Step 4: Simplify right side
    513.70x = 246,648.13
  5. Step 5: Solve for x
    x = 246,648.13/513.70
  6. Step 6: Final answer
    x = 480.14

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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.