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Finding the Fourth Proportional to 512.90, 708.10 and 407.84

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Solution

The fourth proportional to 512.90, 708.10 and 407.84 is: 563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.90 : 708.10 = 407.84 : x
  2. Step 2: Convert to fraction form
    512.90/708.10 = 407.84/x
  3. Step 3: Cross multiply
    512.90x = 708.10 × 407.84
  4. Step 4: Simplify right side
    512.90x = 288,791.50
  5. Step 5: Solve for x
    x = 288,791.50/512.90
  6. Step 6: Final answer
    x = 563.06

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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.