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Finding the Fourth Proportional to 974.50, 1,462.34 and 389.39

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Solution

The fourth proportional to 974.50, 1,462.34 and 389.39 is: 584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.50 : 1,462.34 = 389.39 : x
  2. Step 2: Convert to fraction form
    974.50/1,462.34 = 389.39/x
  3. Step 3: Cross multiply
    974.50x = 1,462.34 × 389.39
  4. Step 4: Simplify right side
    974.50x = 569,414.23
  5. Step 5: Solve for x
    x = 569,414.23/974.50
  6. Step 6: Final answer
    x = 584.32

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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.