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Finding the Fourth Proportional to 847.85, 1,167.44 and 742.35

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Solution

The fourth proportional to 847.85, 1,167.44 and 742.35 is: 1,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.85 : 1,167.44 = 742.35 : x
  2. Step 2: Convert to fraction form
    847.85/1,167.44 = 742.35/x
  3. Step 3: Cross multiply
    847.85x = 1,167.44 × 742.35
  4. Step 4: Simplify right side
    847.85x = 866,645.37
  5. Step 5: Solve for x
    x = 866,645.37/847.85
  6. Step 6: Final answer
    x = 1,022.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.