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Finding the Fourth Proportional to 854.37, 1,273.86 and 833.11

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Solution

The fourth proportional to 854.37, 1,273.86 and 833.11 is: 1,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.37 : 1,273.86 = 833.11 : x
  2. Step 2: Convert to fraction form
    854.37/1,273.86 = 833.11/x
  3. Step 3: Cross multiply
    854.37x = 1,273.86 × 833.11
  4. Step 4: Simplify right side
    854.37x = 1,061,265.50
  5. Step 5: Solve for x
    x = 1,061,265.50/854.37
  6. Step 6: Final answer
    x = 1,242.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.