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Finding the Fourth Proportional to 804.34, 1,111.78 and 584.84

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Solution

The fourth proportional to 804.34, 1,111.78 and 584.84 is: 808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.34 : 1,111.78 = 584.84 : x
  2. Step 2: Convert to fraction form
    804.34/1,111.78 = 584.84/x
  3. Step 3: Cross multiply
    804.34x = 1,111.78 × 584.84
  4. Step 4: Simplify right side
    804.34x = 650,213.42
  5. Step 5: Solve for x
    x = 650,213.42/804.34
  6. Step 6: Final answer
    x = 808.38

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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.