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Finding the Fourth Proportional to 804.97, 1,110.99 and 455.68

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Solution

The fourth proportional to 804.97, 1,110.99 and 455.68 is: 628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.97 : 1,110.99 = 455.68 : x
  2. Step 2: Convert to fraction form
    804.97/1,110.99 = 455.68/x
  3. Step 3: Cross multiply
    804.97x = 1,110.99 × 455.68
  4. Step 4: Simplify right side
    804.97x = 506,255.92
  5. Step 5: Solve for x
    x = 506,255.92/804.97
  6. Step 6: Final answer
    x = 628.91

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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.