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Finding the Fourth Proportional to 855.13, 1,289.85 and 804.55

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Solution

The fourth proportional to 855.13, 1,289.85 and 804.55 is: 1,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.13 : 1,289.85 = 804.55 : x
  2. Step 2: Convert to fraction form
    855.13/1,289.85 = 804.55/x
  3. Step 3: Cross multiply
    855.13x = 1,289.85 × 804.55
  4. Step 4: Simplify right side
    855.13x = 1,037,744.79
  5. Step 5: Solve for x
    x = 1,037,744.79/855.13
  6. Step 6: Final answer
    x = 1,213.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.