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Finding the Fourth Proportional to 512.20, 764.58 and 474.13

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Solution

The fourth proportional to 512.20, 764.58 and 474.13 is: 707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.20 : 764.58 = 474.13 : x
  2. Step 2: Convert to fraction form
    512.20/764.58 = 474.13/x
  3. Step 3: Cross multiply
    512.20x = 764.58 × 474.13
  4. Step 4: Simplify right side
    512.20x = 362,513.05
  5. Step 5: Solve for x
    x = 362,513.05/512.20
  6. Step 6: Final answer
    x = 707.76

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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.