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Finding the Fourth Proportional to 974.76, 1,460.91 and 426.39

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Solution

The fourth proportional to 974.76, 1,460.91 and 426.39 is: 639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.76 : 1,460.91 = 426.39 : x
  2. Step 2: Convert to fraction form
    974.76/1,460.91 = 426.39/x
  3. Step 3: Cross multiply
    974.76x = 1,460.91 × 426.39
  4. Step 4: Simplify right side
    974.76x = 622,917.41
  5. Step 5: Solve for x
    x = 622,917.41/974.76
  6. Step 6: Final answer
    x = 639.05

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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.