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Finding the Fourth Proportional to 512.37, 764.81 and 469.08

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Solution

The fourth proportional to 512.37, 764.81 and 469.08 is: 700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.37 : 764.81 = 469.08 : x
  2. Step 2: Convert to fraction form
    512.37/764.81 = 469.08/x
  3. Step 3: Cross multiply
    512.37x = 764.81 × 469.08
  4. Step 4: Simplify right side
    512.37x = 358,754.73
  5. Step 5: Solve for x
    x = 358,754.73/512.37
  6. Step 6: Final answer
    x = 700.19

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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.