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Finding the Fourth Proportional to 974.12, 1,454.12 and 901.86

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Solution

The fourth proportional to 974.12, 1,454.12 and 901.86 is: 1,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.12 : 1,454.12 = 901.86 : x
  2. Step 2: Convert to fraction form
    974.12/1,454.12 = 901.86/x
  3. Step 3: Cross multiply
    974.12x = 1,454.12 × 901.86
  4. Step 4: Simplify right side
    974.12x = 1,311,414.92
  5. Step 5: Solve for x
    x = 1,311,414.92/974.12
  6. Step 6: Final answer
    x = 1,346.25

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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.