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Finding the Fourth Proportional to 1,064.44, 1,460.11 and 1,055.20

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Solution

The fourth proportional to 1,064.44, 1,460.11 and 1,055.20 is: 1,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.44 : 1,460.11 = 1,055.20 : x
  2. Step 2: Convert to fraction form
    1,064.44/1,460.11 = 1,055.20/x
  3. Step 3: Cross multiply
    1,064.44x = 1,460.11 × 1,055.20
  4. Step 4: Simplify right side
    1,064.44x = 1,540,708.07
  5. Step 5: Solve for x
    x = 1,540,708.07/1,064.44
  6. Step 6: Final answer
    x = 1,447.44

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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.