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Finding the Fourth Proportional to 513.64, 708.51 and 339.22

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Solution

The fourth proportional to 513.64, 708.51 and 339.22 is: 467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.64 : 708.51 = 339.22 : x
  2. Step 2: Convert to fraction form
    513.64/708.51 = 339.22/x
  3. Step 3: Cross multiply
    513.64x = 708.51 × 339.22
  4. Step 4: Simplify right side
    513.64x = 240,340.76
  5. Step 5: Solve for x
    x = 240,340.76/513.64
  6. Step 6: Final answer
    x = 467.92

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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.