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Finding the Fourth Proportional to 1,192.29, 1,644.14 and 772.85

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Solution

The fourth proportional to 1,192.29, 1,644.14 and 772.85 is: 1,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.29 : 1,644.14 = 772.85 : x
  2. Step 2: Convert to fraction form
    1,192.29/1,644.14 = 772.85/x
  3. Step 3: Cross multiply
    1,192.29x = 1,644.14 × 772.85
  4. Step 4: Simplify right side
    1,192.29x = 1,270,661.51
  5. Step 5: Solve for x
    x = 1,270,661.51/1,192.29
  6. Step 6: Final answer
    x = 1,065.73

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1.5x scale

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.