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Finding the Fourth Proportional to 512.43, 703.37 and 485.10

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Solution

The fourth proportional to 512.43, 703.37 and 485.10 is: 665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.43 : 703.37 = 485.10 : x
  2. Step 2: Convert to fraction form
    512.43/703.37 = 485.10/x
  3. Step 3: Cross multiply
    512.43x = 703.37 × 485.10
  4. Step 4: Simplify right side
    512.43x = 341,202.36
  5. Step 5: Solve for x
    x = 341,202.36/512.43
  6. Step 6: Final answer
    x = 665.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.