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Finding the Fourth Proportional to 967.84, 1,336.98 and 771.12

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Solution

The fourth proportional to 967.84, 1,336.98 and 771.12 is: 1,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.84 : 1,336.98 = 771.12 : x
  2. Step 2: Convert to fraction form
    967.84/1,336.98 = 771.12/x
  3. Step 3: Cross multiply
    967.84x = 1,336.98 × 771.12
  4. Step 4: Simplify right side
    967.84x = 1,030,972.02
  5. Step 5: Solve for x
    x = 1,030,972.02/967.84
  6. Step 6: Final answer
    x = 1,065.23

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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.