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Finding the Fourth Proportional to 512.92, 766.10 and 464.09

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Solution

The fourth proportional to 512.92, 766.10 and 464.09 is: 693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.92 : 766.10 = 464.09 : x
  2. Step 2: Convert to fraction form
    512.92/766.10 = 464.09/x
  3. Step 3: Cross multiply
    512.92x = 766.10 × 464.09
  4. Step 4: Simplify right side
    512.92x = 355,539.35
  5. Step 5: Solve for x
    x = 355,539.35/512.92
  6. Step 6: Final answer
    x = 693.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.