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Finding the Fourth Proportional to 622.26, 862.16 and 580.14

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Solution

The fourth proportional to 622.26, 862.16 and 580.14 is: 803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.26 : 862.16 = 580.14 : x
  2. Step 2: Convert to fraction form
    622.26/862.16 = 580.14/x
  3. Step 3: Cross multiply
    622.26x = 862.16 × 580.14
  4. Step 4: Simplify right side
    622.26x = 500,170.60
  5. Step 5: Solve for x
    x = 500,170.60/622.26
  6. Step 6: Final answer
    x = 803.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.