Home / 1,447.14-2,170.78-460.02

Finding the Fourth Proportional to 1,447.14, 2,170.78 and 460.02

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Solution

The fourth proportional to 1,447.14, 2,170.78 and 460.02 is: 690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.14 : 2,170.78 = 460.02 : x
  2. Step 2: Convert to fraction form
    1,447.14/2,170.78 = 460.02/x
  3. Step 3: Cross multiply
    1,447.14x = 2,170.78 × 460.02
  4. Step 4: Simplify right side
    1,447.14x = 998,602.22
  5. Step 5: Solve for x
    x = 998,602.22/1,447.14
  6. Step 6: Final answer
    x = 690.05

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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.