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Finding the Fourth Proportional to 654.22, 974.77 and 613.18

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Solution

The fourth proportional to 654.22, 974.77 and 613.18 is: 913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.22 : 974.77 = 613.18 : x
  2. Step 2: Convert to fraction form
    654.22/974.77 = 613.18/x
  3. Step 3: Cross multiply
    654.22x = 974.77 × 613.18
  4. Step 4: Simplify right side
    654.22x = 597,709.47
  5. Step 5: Solve for x
    x = 597,709.47/654.22
  6. Step 6: Final answer
    x = 913.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.