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Finding the Fourth Proportional to 974.14, 1,449.20 and 970.90

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Solution

The fourth proportional to 974.14, 1,449.20 and 970.90 is: 1,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.14 : 1,449.20 = 970.90 : x
  2. Step 2: Convert to fraction form
    974.14/1,449.20 = 970.90/x
  3. Step 3: Cross multiply
    974.14x = 1,449.20 × 970.90
  4. Step 4: Simplify right side
    974.14x = 1,407,028.28
  5. Step 5: Solve for x
    x = 1,407,028.28/974.14
  6. Step 6: Final answer
    x = 1,444.38

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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.