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Finding the Fourth Proportional to 838.30, 1,156.03 and 772.09

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Solution

The fourth proportional to 838.30, 1,156.03 and 772.09 is: 1,064.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.30 : 1,156.03 = 772.09 : x
  2. Step 2: Convert to fraction form
    838.30/1,156.03 = 772.09/x
  3. Step 3: Cross multiply
    838.30x = 1,156.03 × 772.09
  4. Step 4: Simplify right side
    838.30x = 892,553.42
  5. Step 5: Solve for x
    x = 892,553.42/838.30
  6. Step 6: Final answer
    x = 1,064.72

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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.