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Finding the Fourth Proportional to 513.27, 708.51 and 348.34

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Solution

The fourth proportional to 513.27, 708.51 and 348.34 is: 480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.27 : 708.51 = 348.34 : x
  2. Step 2: Convert to fraction form
    513.27/708.51 = 348.34/x
  3. Step 3: Cross multiply
    513.27x = 708.51 × 348.34
  4. Step 4: Simplify right side
    513.27x = 246,802.37
  5. Step 5: Solve for x
    x = 246,802.37/513.27
  6. Step 6: Final answer
    x = 480.84

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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.