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Finding the Fourth Proportional to 974.50, 1,458.84 and 744.23

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Solution

The fourth proportional to 974.50, 1,458.84 and 744.23 is: 1,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.50 : 1,458.84 = 744.23 : x
  2. Step 2: Convert to fraction form
    974.50/1,458.84 = 744.23/x
  3. Step 3: Cross multiply
    974.50x = 1,458.84 × 744.23
  4. Step 4: Simplify right side
    974.50x = 1,085,712.49
  5. Step 5: Solve for x
    x = 1,085,712.49/974.50
  6. Step 6: Final answer
    x = 1,114.12

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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.