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Finding the Fourth Proportional to 965.68, 1,447.13 and 478.17

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Solution

The fourth proportional to 965.68, 1,447.13 and 478.17 is: 716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.68 : 1,447.13 = 478.17 : x
  2. Step 2: Convert to fraction form
    965.68/1,447.13 = 478.17/x
  3. Step 3: Cross multiply
    965.68x = 1,447.13 × 478.17
  4. Step 4: Simplify right side
    965.68x = 691,975.35
  5. Step 5: Solve for x
    x = 691,975.35/965.68
  6. Step 6: Final answer
    x = 716.57

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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.