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Finding the Fourth Proportional to 804.91, 1,110.87 and 455.60

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Solution

The fourth proportional to 804.91, 1,110.87 and 455.60 is: 628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.91 : 1,110.87 = 455.60 : x
  2. Step 2: Convert to fraction form
    804.91/1,110.87 = 455.60/x
  3. Step 3: Cross multiply
    804.91x = 1,110.87 × 455.60
  4. Step 4: Simplify right side
    804.91x = 506,112.37
  5. Step 5: Solve for x
    x = 506,112.37/804.91
  6. Step 6: Final answer
    x = 628.78

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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.