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Finding the Fourth Proportional to 966.06, 1,446.48 and 770.13

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Solution

The fourth proportional to 966.06, 1,446.48 and 770.13 is: 1,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.06 : 1,446.48 = 770.13 : x
  2. Step 2: Convert to fraction form
    966.06/1,446.48 = 770.13/x
  3. Step 3: Cross multiply
    966.06x = 1,446.48 × 770.13
  4. Step 4: Simplify right side
    966.06x = 1,113,977.64
  5. Step 5: Solve for x
    x = 1,113,977.64/966.06
  6. Step 6: Final answer
    x = 1,153.11

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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.