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Finding the Fourth Proportional to 1,308.11, 1,804.28 and 836.15

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Solution

The fourth proportional to 1,308.11, 1,804.28 and 836.15 is: 1,153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.11 : 1,804.28 = 836.15 : x
  2. Step 2: Convert to fraction form
    1,308.11/1,804.28 = 836.15/x
  3. Step 3: Cross multiply
    1,308.11x = 1,804.28 × 836.15
  4. Step 4: Simplify right side
    1,308.11x = 1,508,635.52
  5. Step 5: Solve for x
    x = 1,508,635.52/1,308.11
  6. Step 6: Final answer
    x = 1,153.30

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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.