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Finding the Fourth Proportional to 622.56, 859.10 and 342.81

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Solution

The fourth proportional to 622.56, 859.10 and 342.81 is: 473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.56 : 859.10 = 342.81 : x
  2. Step 2: Convert to fraction form
    622.56/859.10 = 342.81/x
  3. Step 3: Cross multiply
    622.56x = 859.10 × 342.81
  4. Step 4: Simplify right side
    622.56x = 294,505.71
  5. Step 5: Solve for x
    x = 294,505.71/622.56
  6. Step 6: Final answer
    x = 473.06

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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.