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Finding the Fourth Proportional to 622.76, 862.85 and 580.64

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Solution

The fourth proportional to 622.76, 862.85 and 580.64 is: 804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.76 : 862.85 = 580.64 : x
  2. Step 2: Convert to fraction form
    622.76/862.85 = 580.64/x
  3. Step 3: Cross multiply
    622.76x = 862.85 × 580.64
  4. Step 4: Simplify right side
    622.76x = 501,005.22
  5. Step 5: Solve for x
    x = 501,005.22/622.76
  6. Step 6: Final answer
    x = 804.49

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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.