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Finding the Fourth Proportional to 650.08, 973.68 and 419.08

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Solution

The fourth proportional to 650.08, 973.68 and 419.08 is: 627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.08 : 973.68 = 419.08 : x
  2. Step 2: Convert to fraction form
    650.08/973.68 = 419.08/x
  3. Step 3: Cross multiply
    650.08x = 973.68 × 419.08
  4. Step 4: Simplify right side
    650.08x = 408,049.81
  5. Step 5: Solve for x
    x = 408,049.81/650.08
  6. Step 6: Final answer
    x = 627.69

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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.