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Finding the Fourth Proportional to 1,330.76, 1,992.93 and 1,134.65

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Solution

The fourth proportional to 1,330.76, 1,992.93 and 1,134.65 is: 1,699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.76 : 1,992.93 = 1,134.65 : x
  2. Step 2: Convert to fraction form
    1,330.76/1,992.93 = 1,134.65/x
  3. Step 3: Cross multiply
    1,330.76x = 1,992.93 × 1,134.65
  4. Step 4: Simplify right side
    1,330.76x = 2,261,268.06
  5. Step 5: Solve for x
    x = 2,261,268.06/1,330.76
  6. Step 6: Final answer
    x = 1,699.24

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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.