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Finding the Fourth Proportional to 650.37, 973.83 and 455.61

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Solution

The fourth proportional to 650.37, 973.83 and 455.61 is: 682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.37 : 973.83 = 455.61 : x
  2. Step 2: Convert to fraction form
    650.37/973.83 = 455.61/x
  3. Step 3: Cross multiply
    650.37x = 973.83 × 455.61
  4. Step 4: Simplify right side
    650.37x = 443,686.69
  5. Step 5: Solve for x
    x = 443,686.69/650.37
  6. Step 6: Final answer
    x = 682.21

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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.