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Finding the Fourth Proportional to 1,072.28, 1,473.78 and 947.20

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Solution

The fourth proportional to 1,072.28, 1,473.78 and 947.20 is: 1,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.28 : 1,473.78 = 947.20 : x
  2. Step 2: Convert to fraction form
    1,072.28/1,473.78 = 947.20/x
  3. Step 3: Cross multiply
    1,072.28x = 1,473.78 × 947.20
  4. Step 4: Simplify right side
    1,072.28x = 1,395,964.42
  5. Step 5: Solve for x
    x = 1,395,964.42/1,072.28
  6. Step 6: Final answer
    x = 1,301.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.