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Finding the Fourth Proportional to 471.24, 650.34 and 412.92

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Solution

The fourth proportional to 471.24, 650.34 and 412.92 is: 569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.24 : 650.34 = 412.92 : x
  2. Step 2: Convert to fraction form
    471.24/650.34 = 412.92/x
  3. Step 3: Cross multiply
    471.24x = 650.34 × 412.92
  4. Step 4: Simplify right side
    471.24x = 268,538.39
  5. Step 5: Solve for x
    x = 268,538.39/471.24
  6. Step 6: Final answer
    x = 569.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.