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Finding the Fourth Proportional to 965.21, 1,447.83 and 478.13

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Solution

The fourth proportional to 965.21, 1,447.83 and 478.13 is: 717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.21 : 1,447.83 = 478.13 : x
  2. Step 2: Convert to fraction form
    965.21/1,447.83 = 478.13/x
  3. Step 3: Cross multiply
    965.21x = 1,447.83 × 478.13
  4. Step 4: Simplify right side
    965.21x = 692,243.72
  5. Step 5: Solve for x
    x = 692,243.72/965.21
  6. Step 6: Final answer
    x = 717.20

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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.