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Finding the Fourth Proportional to 966.87, 1,336.01 and 771.93

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Solution

The fourth proportional to 966.87, 1,336.01 and 771.93 is: 1,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.87 : 1,336.01 = 771.93 : x
  2. Step 2: Convert to fraction form
    966.87/1,336.01 = 771.93/x
  3. Step 3: Cross multiply
    966.87x = 1,336.01 × 771.93
  4. Step 4: Simplify right side
    966.87x = 1,031,306.20
  5. Step 5: Solve for x
    x = 1,031,306.20/966.87
  6. Step 6: Final answer
    x = 1,066.64

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Why These Related Problems?

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