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Finding the Fourth Proportional to 974.51, 1,462.43 and 426.84

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Solution

The fourth proportional to 974.51, 1,462.43 and 426.84 is: 640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.51 : 1,462.43 = 426.84 : x
  2. Step 2: Convert to fraction form
    974.51/1,462.43 = 426.84/x
  3. Step 3: Cross multiply
    974.51x = 1,462.43 × 426.84
  4. Step 4: Simplify right side
    974.51x = 624,221.49
  5. Step 5: Solve for x
    x = 624,221.49/974.51
  6. Step 6: Final answer
    x = 640.55

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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.