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Finding the Fourth Proportional to 623.22, 859.61 and 402.26

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Solution

The fourth proportional to 623.22, 859.61 and 402.26 is: 554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.22 : 859.61 = 402.26 : x
  2. Step 2: Convert to fraction form
    623.22/859.61 = 402.26/x
  3. Step 3: Cross multiply
    623.22x = 859.61 × 402.26
  4. Step 4: Simplify right side
    623.22x = 345,780.41
  5. Step 5: Solve for x
    x = 345,780.41/623.22
  6. Step 6: Final answer
    x = 554.83

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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.