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Finding the Fourth Proportional to 513.59, 708.97 and 356.19

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Solution

The fourth proportional to 513.59, 708.97 and 356.19 is: 491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.59 : 708.97 = 356.19 : x
  2. Step 2: Convert to fraction form
    513.59/708.97 = 356.19/x
  3. Step 3: Cross multiply
    513.59x = 708.97 × 356.19
  4. Step 4: Simplify right side
    513.59x = 252,528.02
  5. Step 5: Solve for x
    x = 252,528.02/513.59
  6. Step 6: Final answer
    x = 491.69

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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.