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Finding the Fourth Proportional to 1,027.41, 1,408.26 and 1,013.01

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Solution

The fourth proportional to 1,027.41, 1,408.26 and 1,013.01 is: 1,388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.41 : 1,408.26 = 1,013.01 : x
  2. Step 2: Convert to fraction form
    1,027.41/1,408.26 = 1,013.01/x
  3. Step 3: Cross multiply
    1,027.41x = 1,408.26 × 1,013.01
  4. Step 4: Simplify right side
    1,027.41x = 1,426,581.46
  5. Step 5: Solve for x
    x = 1,426,581.46/1,027.41
  6. Step 6: Final answer
    x = 1,388.52

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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.