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Finding the Fourth Proportional to 1,365.26, 1,884.33 and 805.86

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Solution

The fourth proportional to 1,365.26, 1,884.33 and 805.86 is: 1,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.26 : 1,884.33 = 805.86 : x
  2. Step 2: Convert to fraction form
    1,365.26/1,884.33 = 805.86/x
  3. Step 3: Cross multiply
    1,365.26x = 1,884.33 × 805.86
  4. Step 4: Simplify right side
    1,365.26x = 1,518,506.17
  5. Step 5: Solve for x
    x = 1,518,506.17/1,365.26
  6. Step 6: Final answer
    x = 1,112.25

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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.