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Finding the Fourth Proportional to 853.59, 1,281.83 and 809.75

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Solution

The fourth proportional to 853.59, 1,281.83 and 809.75 is: 1,215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.59 : 1,281.83 = 809.75 : x
  2. Step 2: Convert to fraction form
    853.59/1,281.83 = 809.75/x
  3. Step 3: Cross multiply
    853.59x = 1,281.83 × 809.75
  4. Step 4: Simplify right side
    853.59x = 1,037,956.19
  5. Step 5: Solve for x
    x = 1,037,956.19/853.59
  6. Step 6: Final answer
    x = 1,215.99

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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.