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Finding the Fourth Proportional to 823.88, 1,137.12 and 627.04

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Solution

The fourth proportional to 823.88, 1,137.12 and 627.04 is: 865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.88 : 1,137.12 = 627.04 : x
  2. Step 2: Convert to fraction form
    823.88/1,137.12 = 627.04/x
  3. Step 3: Cross multiply
    823.88x = 1,137.12 × 627.04
  4. Step 4: Simplify right side
    823.88x = 713,019.72
  5. Step 5: Solve for x
    x = 713,019.72/823.88
  6. Step 6: Final answer
    x = 865.44

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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.