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Finding the Fourth Proportional to 838.55, 1,156.38 and 772.33

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Solution

The fourth proportional to 838.55, 1,156.38 and 772.33 is: 1,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.55 : 1,156.38 = 772.33 : x
  2. Step 2: Convert to fraction form
    838.55/1,156.38 = 772.33/x
  3. Step 3: Cross multiply
    838.55x = 1,156.38 × 772.33
  4. Step 4: Simplify right side
    838.55x = 893,103.10
  5. Step 5: Solve for x
    x = 893,103.10/838.55
  6. Step 6: Final answer
    x = 1,065.06

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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.