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Finding the Fourth Proportional to 513.44, 708.13 and 347.39

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Solution

The fourth proportional to 513.44, 708.13 and 347.39 is: 479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.44 : 708.13 = 347.39 : x
  2. Step 2: Convert to fraction form
    513.44/708.13 = 347.39/x
  3. Step 3: Cross multiply
    513.44x = 708.13 × 347.39
  4. Step 4: Simplify right side
    513.44x = 245,994.88
  5. Step 5: Solve for x
    x = 245,994.88/513.44
  6. Step 6: Final answer
    x = 479.11

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1.5x scale

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.