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Finding the Fourth Proportional to 650.53, 973.85 and 418.73

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Solution

The fourth proportional to 650.53, 973.85 and 418.73 is: 626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.53 : 973.85 = 418.73 : x
  2. Step 2: Convert to fraction form
    650.53/973.85 = 418.73/x
  3. Step 3: Cross multiply
    650.53x = 973.85 × 418.73
  4. Step 4: Simplify right side
    650.53x = 407,775.34
  5. Step 5: Solve for x
    x = 407,775.34/650.53
  6. Step 6: Final answer
    x = 626.84

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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.