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Finding the Fourth Proportional to 853.94, 1,281.22 and 606.69

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Solution

The fourth proportional to 853.94, 1,281.22 and 606.69 is: 910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.94 : 1,281.22 = 606.69 : x
  2. Step 2: Convert to fraction form
    853.94/1,281.22 = 606.69/x
  3. Step 3: Cross multiply
    853.94x = 1,281.22 × 606.69
  4. Step 4: Simplify right side
    853.94x = 777,301.85
  5. Step 5: Solve for x
    x = 777,301.85/853.94
  6. Step 6: Final answer
    x = 910.25

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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.