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Finding the Fourth Proportional to 966.36, 1,447.38 and 478.34

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Solution

The fourth proportional to 966.36, 1,447.38 and 478.34 is: 716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.36 : 1,447.38 = 478.34 : x
  2. Step 2: Convert to fraction form
    966.36/1,447.38 = 478.34/x
  3. Step 3: Cross multiply
    966.36x = 1,447.38 × 478.34
  4. Step 4: Simplify right side
    966.36x = 692,339.75
  5. Step 5: Solve for x
    x = 692,339.75/966.36
  6. Step 6: Final answer
    x = 716.44

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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.