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Finding the Fourth Proportional to 966.86, 1,447.41 and 735.02

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Solution

The fourth proportional to 966.86, 1,447.41 and 735.02 is: 1,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.86 : 1,447.41 = 735.02 : x
  2. Step 2: Convert to fraction form
    966.86/1,447.41 = 735.02/x
  3. Step 3: Cross multiply
    966.86x = 1,447.41 × 735.02
  4. Step 4: Simplify right side
    966.86x = 1,063,875.30
  5. Step 5: Solve for x
    x = 1,063,875.30/966.86
  6. Step 6: Final answer
    x = 1,100.34

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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.