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Finding the Fourth Proportional to 622.16, 859.68 and 492.20

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Solution

The fourth proportional to 622.16, 859.68 and 492.20 is: 680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.16 : 859.68 = 492.20 : x
  2. Step 2: Convert to fraction form
    622.16/859.68 = 492.20/x
  3. Step 3: Cross multiply
    622.16x = 859.68 × 492.20
  4. Step 4: Simplify right side
    622.16x = 423,134.50
  5. Step 5: Solve for x
    x = 423,134.50/622.16
  6. Step 6: Final answer
    x = 680.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.