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Finding the Fourth Proportional to 1,019.14, 1,405.12 and 832.44

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Solution

The fourth proportional to 1,019.14, 1,405.12 and 832.44 is: 1,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.14 : 1,405.12 = 832.44 : x
  2. Step 2: Convert to fraction form
    1,019.14/1,405.12 = 832.44/x
  3. Step 3: Cross multiply
    1,019.14x = 1,405.12 × 832.44
  4. Step 4: Simplify right side
    1,019.14x = 1,169,678.09
  5. Step 5: Solve for x
    x = 1,169,678.09/1,019.14
  6. Step 6: Final answer
    x = 1,147.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.