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Finding the Fourth Proportional to 974.57, 1,454.73 and 845.47

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Solution

The fourth proportional to 974.57, 1,454.73 and 845.47 is: 1,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.57 : 1,454.73 = 845.47 : x
  2. Step 2: Convert to fraction form
    974.57/1,454.73 = 845.47/x
  3. Step 3: Cross multiply
    974.57x = 1,454.73 × 845.47
  4. Step 4: Simplify right side
    974.57x = 1,229,929.22
  5. Step 5: Solve for x
    x = 1,229,929.22/974.57
  6. Step 6: Final answer
    x = 1,262.03

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Double scale
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1.5x scale

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.