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Finding the Fourth Proportional to 622.47, 859 and 342.72

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Solution

The fourth proportional to 622.47, 859 and 342.72 is: 472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.47 : 859 = 342.72 : x
  2. Step 2: Convert to fraction form
    622.47/859 = 342.72/x
  3. Step 3: Cross multiply
    622.47x = 859 × 342.72
  4. Step 4: Simplify right side
    622.47x = 294,396.48
  5. Step 5: Solve for x
    x = 294,396.48/622.47
  6. Step 6: Final answer
    x = 472.95

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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.