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Finding the Fourth Proportional to 622.28, 856.50 and 566.12

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Solution

The fourth proportional to 622.28, 856.50 and 566.12 is: 779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.28 : 856.50 = 566.12 : x
  2. Step 2: Convert to fraction form
    622.28/856.50 = 566.12/x
  3. Step 3: Cross multiply
    622.28x = 856.50 × 566.12
  4. Step 4: Simplify right side
    622.28x = 484,881.78
  5. Step 5: Solve for x
    x = 484,881.78/622.28
  6. Step 6: Final answer
    x = 779.20

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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.