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Finding the Fourth Proportional to 886.03, 1,222.58 and 492.97

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Solution

The fourth proportional to 886.03, 1,222.58 and 492.97 is: 680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.03 : 1,222.58 = 492.97 : x
  2. Step 2: Convert to fraction form
    886.03/1,222.58 = 492.97/x
  3. Step 3: Cross multiply
    886.03x = 1,222.58 × 492.97
  4. Step 4: Simplify right side
    886.03x = 602,692.80
  5. Step 5: Solve for x
    x = 602,692.80/886.03
  6. Step 6: Final answer
    x = 680.22

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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.