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Finding the Fourth Proportional to 513.59, 708.57 and 347.54

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Solution

The fourth proportional to 513.59, 708.57 and 347.54 is: 479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.59 : 708.57 = 347.54 : x
  2. Step 2: Convert to fraction form
    513.59/708.57 = 347.54/x
  3. Step 3: Cross multiply
    513.59x = 708.57 × 347.54
  4. Step 4: Simplify right side
    513.59x = 246,252.87
  5. Step 5: Solve for x
    x = 246,252.87/513.59
  6. Step 6: Final answer
    x = 479.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.