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Finding the Fourth Proportional to 1,223.41, 1,833.28 and 854.46

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Solution

The fourth proportional to 1,223.41, 1,833.28 and 854.46 is: 1,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.41 : 1,833.28 = 854.46 : x
  2. Step 2: Convert to fraction form
    1,223.41/1,833.28 = 854.46/x
  3. Step 3: Cross multiply
    1,223.41x = 1,833.28 × 854.46
  4. Step 4: Simplify right side
    1,223.41x = 1,566,464.43
  5. Step 5: Solve for x
    x = 1,566,464.43/1,223.41
  6. Step 6: Final answer
    x = 1,280.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.