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Finding the Fourth Proportional to 853.81, 1,282.07 and 689.83

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Solution

The fourth proportional to 853.81, 1,282.07 and 689.83 is: 1,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.81 : 1,282.07 = 689.83 : x
  2. Step 2: Convert to fraction form
    853.81/1,282.07 = 689.83/x
  3. Step 3: Cross multiply
    853.81x = 1,282.07 × 689.83
  4. Step 4: Simplify right side
    853.81x = 884,410.35
  5. Step 5: Solve for x
    x = 884,410.35/853.81
  6. Step 6: Final answer
    x = 1,035.84

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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.