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Finding the Fourth Proportional to 974.21, 1,345.55 and 895.23

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Solution

The fourth proportional to 974.21, 1,345.55 and 895.23 is: 1,236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.21 : 1,345.55 = 895.23 : x
  2. Step 2: Convert to fraction form
    974.21/1,345.55 = 895.23/x
  3. Step 3: Cross multiply
    974.21x = 1,345.55 × 895.23
  4. Step 4: Simplify right side
    974.21x = 1,204,572.25
  5. Step 5: Solve for x
    x = 1,204,572.25/974.21
  6. Step 6: Final answer
    x = 1,236.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.