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Finding the Fourth Proportional to 512.92, 772.12 and 460

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Solution

The fourth proportional to 512.92, 772.12 and 460 is: 692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.92 : 772.12 = 460 : x
  2. Step 2: Convert to fraction form
    512.92/772.12 = 460/x
  3. Step 3: Cross multiply
    512.92x = 772.12 × 460
  4. Step 4: Simplify right side
    512.92x = 355,175.20
  5. Step 5: Solve for x
    x = 355,175.20/512.92
  6. Step 6: Final answer
    x = 692.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.