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Finding the Fourth Proportional to 650.40, 974.02 and 455.59

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Solution

The fourth proportional to 650.40, 974.02 and 455.59 is: 682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.40 : 974.02 = 455.59 : x
  2. Step 2: Convert to fraction form
    650.40/974.02 = 455.59/x
  3. Step 3: Cross multiply
    650.40x = 974.02 × 455.59
  4. Step 4: Simplify right side
    650.40x = 443,753.77
  5. Step 5: Solve for x
    x = 443,753.77/650.40
  6. Step 6: Final answer
    x = 682.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.