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Finding the Fourth Proportional to 651.57, 899.43 and 494.22

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Solution

The fourth proportional to 651.57, 899.43 and 494.22 is: 682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.57 : 899.43 = 494.22 : x
  2. Step 2: Convert to fraction form
    651.57/899.43 = 494.22/x
  3. Step 3: Cross multiply
    651.57x = 899.43 × 494.22
  4. Step 4: Simplify right side
    651.57x = 444,516.29
  5. Step 5: Solve for x
    x = 444,516.29/651.57
  6. Step 6: Final answer
    x = 682.22

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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.