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Finding the Fourth Proportional to 965.26, 1,448 and 477.86

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Solution

The fourth proportional to 965.26, 1,448 and 477.86 is: 716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.26 : 1,448 = 477.86 : x
  2. Step 2: Convert to fraction form
    965.26/1,448 = 477.86/x
  3. Step 3: Cross multiply
    965.26x = 1,448 × 477.86
  4. Step 4: Simplify right side
    965.26x = 691,941.28
  5. Step 5: Solve for x
    x = 691,941.28/965.26
  6. Step 6: Final answer
    x = 716.84

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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.