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Finding the Fourth Proportional to 966.99, 1,336.16 and 772.11

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Solution

The fourth proportional to 966.99, 1,336.16 and 772.11 is: 1,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.99 : 1,336.16 = 772.11 : x
  2. Step 2: Convert to fraction form
    966.99/1,336.16 = 772.11/x
  3. Step 3: Cross multiply
    966.99x = 1,336.16 × 772.11
  4. Step 4: Simplify right side
    966.99x = 1,031,658.64
  5. Step 5: Solve for x
    x = 1,031,658.64/966.99
  6. Step 6: Final answer
    x = 1,066.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.