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Finding the Fourth Proportional to 650.91, 974.62 and 418.53

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Solution

The fourth proportional to 650.91, 974.62 and 418.53 is: 626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.91 : 974.62 = 418.53 : x
  2. Step 2: Convert to fraction form
    650.91/974.62 = 418.53/x
  3. Step 3: Cross multiply
    650.91x = 974.62 × 418.53
  4. Step 4: Simplify right side
    650.91x = 407,907.71
  5. Step 5: Solve for x
    x = 407,907.71/650.91
  6. Step 6: Final answer
    x = 626.67

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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.