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Finding the Fourth Proportional to 804.13, 1,109.20 and 617.34

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Solution

The fourth proportional to 804.13, 1,109.20 and 617.34 is: 851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.13 : 1,109.20 = 617.34 : x
  2. Step 2: Convert to fraction form
    804.13/1,109.20 = 617.34/x
  3. Step 3: Cross multiply
    804.13x = 1,109.20 × 617.34
  4. Step 4: Simplify right side
    804.13x = 684,749.21
  5. Step 5: Solve for x
    x = 684,749.21/804.13
  6. Step 6: Final answer
    x = 851.54

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1.5x scale

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.