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Finding the Fourth Proportional to 1,264.59, 1,745.58 and 822.33

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Solution

The fourth proportional to 1,264.59, 1,745.58 and 822.33 is: 1,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.59 : 1,745.58 = 822.33 : x
  2. Step 2: Convert to fraction form
    1,264.59/1,745.58 = 822.33/x
  3. Step 3: Cross multiply
    1,264.59x = 1,745.58 × 822.33
  4. Step 4: Simplify right side
    1,264.59x = 1,435,442.80
  5. Step 5: Solve for x
    x = 1,435,442.80/1,264.59
  6. Step 6: Final answer
    x = 1,135.11

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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.