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Finding the Fourth Proportional to 650.21, 896.06 and 472.88

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Solution

The fourth proportional to 650.21, 896.06 and 472.88 is: 651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.21 : 896.06 = 472.88 : x
  2. Step 2: Convert to fraction form
    650.21/896.06 = 472.88/x
  3. Step 3: Cross multiply
    650.21x = 896.06 × 472.88
  4. Step 4: Simplify right side
    650.21x = 423,732.28
  5. Step 5: Solve for x
    x = 423,732.28/650.21
  6. Step 6: Final answer
    x = 651.69

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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.