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Finding the Fourth Proportional to 513.34, 708.67 and 356.24

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Solution

The fourth proportional to 513.34, 708.67 and 356.24 is: 491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.34 : 708.67 = 356.24 : x
  2. Step 2: Convert to fraction form
    513.34/708.67 = 356.24/x
  3. Step 3: Cross multiply
    513.34x = 708.67 × 356.24
  4. Step 4: Simplify right side
    513.34x = 252,458.82
  5. Step 5: Solve for x
    x = 252,458.82/513.34
  6. Step 6: Final answer
    x = 491.80

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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.