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Finding the Fourth Proportional to 805.68, 1,109.16 and 584.24

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Solution

The fourth proportional to 805.68, 1,109.16 and 584.24 is: 804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.68 : 1,109.16 = 584.24 : x
  2. Step 2: Convert to fraction form
    805.68/1,109.16 = 584.24/x
  3. Step 3: Cross multiply
    805.68x = 1,109.16 × 584.24
  4. Step 4: Simplify right side
    805.68x = 648,015.64
  5. Step 5: Solve for x
    x = 648,015.64/805.68
  6. Step 6: Final answer
    x = 804.31

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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.