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Finding the Fourth Proportional to 965.18, 1,447.46 and 380.05

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Solution

The fourth proportional to 965.18, 1,447.46 and 380.05 is: 569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.18 : 1,447.46 = 380.05 : x
  2. Step 2: Convert to fraction form
    965.18/1,447.46 = 380.05/x
  3. Step 3: Cross multiply
    965.18x = 1,447.46 × 380.05
  4. Step 4: Simplify right side
    965.18x = 550,107.17
  5. Step 5: Solve for x
    x = 550,107.17/965.18
  6. Step 6: Final answer
    x = 569.95

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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.