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Finding the Fourth Proportional to 1,308.86, 1,804.40 and 888.56

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Solution

The fourth proportional to 1,308.86, 1,804.40 and 888.56 is: 1,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.86 : 1,804.40 = 888.56 : x
  2. Step 2: Convert to fraction form
    1,308.86/1,804.40 = 888.56/x
  3. Step 3: Cross multiply
    1,308.86x = 1,804.40 × 888.56
  4. Step 4: Simplify right side
    1,308.86x = 1,603,317.66
  5. Step 5: Solve for x
    x = 1,603,317.66/1,308.86
  6. Step 6: Final answer
    x = 1,224.97

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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.