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Finding the Fourth Proportional to 512.82, 708.03 and 407.79

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Solution

The fourth proportional to 512.82, 708.03 and 407.79 is: 563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.82 : 708.03 = 407.79 : x
  2. Step 2: Convert to fraction form
    512.82/708.03 = 407.79/x
  3. Step 3: Cross multiply
    512.82x = 708.03 × 407.79
  4. Step 4: Simplify right side
    512.82x = 288,727.55
  5. Step 5: Solve for x
    x = 288,727.55/512.82
  6. Step 6: Final answer
    x = 563.02

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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.