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Finding the Fourth Proportional to 617.28, 852.58 and 451.22

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Solution

The fourth proportional to 617.28, 852.58 and 451.22 is: 623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.28 : 852.58 = 451.22 : x
  2. Step 2: Convert to fraction form
    617.28/852.58 = 451.22/x
  3. Step 3: Cross multiply
    617.28x = 852.58 × 451.22
  4. Step 4: Simplify right side
    617.28x = 384,701.15
  5. Step 5: Solve for x
    x = 384,701.15/617.28
  6. Step 6: Final answer
    x = 623.22

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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.