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Finding the Fourth Proportional to 513.32, 708.23 and 355.78

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Solution

The fourth proportional to 513.32, 708.23 and 355.78 is: 490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.32 : 708.23 = 355.78 : x
  2. Step 2: Convert to fraction form
    513.32/708.23 = 355.78/x
  3. Step 3: Cross multiply
    513.32x = 708.23 × 355.78
  4. Step 4: Simplify right side
    513.32x = 251,969.86
  5. Step 5: Solve for x
    x = 251,969.86/513.32
  6. Step 6: Final answer
    x = 490.86

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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.