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Finding the Fourth Proportional to 650.34, 896.43 and 417.06

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Solution

The fourth proportional to 650.34, 896.43 and 417.06 is: 574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.34 : 896.43 = 417.06 : x
  2. Step 2: Convert to fraction form
    650.34/896.43 = 417.06/x
  3. Step 3: Cross multiply
    650.34x = 896.43 × 417.06
  4. Step 4: Simplify right side
    650.34x = 373,865.10
  5. Step 5: Solve for x
    x = 373,865.10/650.34
  6. Step 6: Final answer
    x = 574.88

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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.