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Finding the Fourth Proportional to 1,036.19, 1,429.29 and 911.85

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Solution

The fourth proportional to 1,036.19, 1,429.29 and 911.85 is: 1,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.19 : 1,429.29 = 911.85 : x
  2. Step 2: Convert to fraction form
    1,036.19/1,429.29 = 911.85/x
  3. Step 3: Cross multiply
    1,036.19x = 1,429.29 × 911.85
  4. Step 4: Simplify right side
    1,036.19x = 1,303,298.09
  5. Step 5: Solve for x
    x = 1,303,298.09/1,036.19
  6. Step 6: Final answer
    x = 1,257.79

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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.