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Finding the Fourth Proportional to 772.64, 1,156.22 and 681.51

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Solution

The fourth proportional to 772.64, 1,156.22 and 681.51 is: 1,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.64 : 1,156.22 = 681.51 : x
  2. Step 2: Convert to fraction form
    772.64/1,156.22 = 681.51/x
  3. Step 3: Cross multiply
    772.64x = 1,156.22 × 681.51
  4. Step 4: Simplify right side
    772.64x = 787,975.49
  5. Step 5: Solve for x
    x = 787,975.49/772.64
  6. Step 6: Final answer
    x = 1,019.85

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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.