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Finding the Fourth Proportional to 974.81, 1,449.69 and 944.06

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Solution

The fourth proportional to 974.81, 1,449.69 and 944.06 is: 1,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.81 : 1,449.69 = 944.06 : x
  2. Step 2: Convert to fraction form
    974.81/1,449.69 = 944.06/x
  3. Step 3: Cross multiply
    974.81x = 1,449.69 × 944.06
  4. Step 4: Simplify right side
    974.81x = 1,368,587.09
  5. Step 5: Solve for x
    x = 1,368,587.09/974.81
  6. Step 6: Final answer
    x = 1,403.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.