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Finding the Fourth Proportional to 622.59, 859.16 and 356.96

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Solution

The fourth proportional to 622.59, 859.16 and 356.96 is: 492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.59 : 859.16 = 356.96 : x
  2. Step 2: Convert to fraction form
    622.59/859.16 = 356.96/x
  3. Step 3: Cross multiply
    622.59x = 859.16 × 356.96
  4. Step 4: Simplify right side
    622.59x = 306,681.95
  5. Step 5: Solve for x
    x = 306,681.95/622.59
  6. Step 6: Final answer
    x = 492.59

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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.