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Finding the Fourth Proportional to 965.96, 1,449.24 and 417.86

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Solution

The fourth proportional to 965.96, 1,449.24 and 417.86 is: 626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.96 : 1,449.24 = 417.86 : x
  2. Step 2: Convert to fraction form
    965.96/1,449.24 = 417.86/x
  3. Step 3: Cross multiply
    965.96x = 1,449.24 × 417.86
  4. Step 4: Simplify right side
    965.96x = 605,579.43
  5. Step 5: Solve for x
    x = 605,579.43/965.96
  6. Step 6: Final answer
    x = 626.92

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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.