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Finding the Fourth Proportional to 622.80, 847.52 and 622.80

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Solution

The fourth proportional to 622.80, 847.52 and 622.80 is: 847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.80 : 847.52 = 622.80 : x
  2. Step 2: Convert to fraction form
    622.80/847.52 = 622.80/x
  3. Step 3: Cross multiply
    622.80x = 847.52 × 622.80
  4. Step 4: Simplify right side
    622.80x = 527,835.46
  5. Step 5: Solve for x
    x = 527,835.46/622.80
  6. Step 6: Final answer
    x = 847.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.