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Finding the Fourth Proportional to 1,447.36, 2,170.44 and 473.20

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Solution

The fourth proportional to 1,447.36, 2,170.44 and 473.20 is: 709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.36 : 2,170.44 = 473.20 : x
  2. Step 2: Convert to fraction form
    1,447.36/2,170.44 = 473.20/x
  3. Step 3: Cross multiply
    1,447.36x = 2,170.44 × 473.20
  4. Step 4: Simplify right side
    1,447.36x = 1,027,052.21
  5. Step 5: Solve for x
    x = 1,027,052.21/1,447.36
  6. Step 6: Final answer
    x = 709.60

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.