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Finding the Fourth Proportional to 650.94, 899.02 and 494.34

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Solution

The fourth proportional to 650.94, 899.02 and 494.34 is: 682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.94 : 899.02 = 494.34 : x
  2. Step 2: Convert to fraction form
    650.94/899.02 = 494.34/x
  3. Step 3: Cross multiply
    650.94x = 899.02 × 494.34
  4. Step 4: Simplify right side
    650.94x = 444,421.55
  5. Step 5: Solve for x
    x = 444,421.55/650.94
  6. Step 6: Final answer
    x = 682.74

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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.