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Finding the Fourth Proportional to 1,023.44, 1,403.84 and 1,014.68

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Solution

The fourth proportional to 1,023.44, 1,403.84 and 1,014.68 is: 1,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.44 : 1,403.84 = 1,014.68 : x
  2. Step 2: Convert to fraction form
    1,023.44/1,403.84 = 1,014.68/x
  3. Step 3: Cross multiply
    1,023.44x = 1,403.84 × 1,014.68
  4. Step 4: Simplify right side
    1,023.44x = 1,424,454.42
  5. Step 5: Solve for x
    x = 1,424,454.42/1,023.44
  6. Step 6: Final answer
    x = 1,391.84

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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.