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Finding the Fourth Proportional to 974.44, 1,460.22 and 608.68

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Solution

The fourth proportional to 974.44, 1,460.22 and 608.68 is: 912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.44 : 1,460.22 = 608.68 : x
  2. Step 2: Convert to fraction form
    974.44/1,460.22 = 608.68/x
  3. Step 3: Cross multiply
    974.44x = 1,460.22 × 608.68
  4. Step 4: Simplify right side
    974.44x = 888,806.71
  5. Step 5: Solve for x
    x = 888,806.71/974.44
  6. Step 6: Final answer
    x = 912.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.