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Finding the Fourth Proportional to 804.27, 1,109.27 and 556

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Solution

The fourth proportional to 804.27, 1,109.27 and 556 is: 766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.27 : 1,109.27 = 556 : x
  2. Step 2: Convert to fraction form
    804.27/1,109.27 = 556/x
  3. Step 3: Cross multiply
    804.27x = 1,109.27 × 556
  4. Step 4: Simplify right side
    804.27x = 616,754.12
  5. Step 5: Solve for x
    x = 616,754.12/804.27
  6. Step 6: Final answer
    x = 766.85

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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.