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Finding the Fourth Proportional to 884.76, 1,323.48 and 804.57

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Solution

The fourth proportional to 884.76, 1,323.48 and 804.57 is: 1,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.76 : 1,323.48 = 804.57 : x
  2. Step 2: Convert to fraction form
    884.76/1,323.48 = 804.57/x
  3. Step 3: Cross multiply
    884.76x = 1,323.48 × 804.57
  4. Step 4: Simplify right side
    884.76x = 1,064,830.36
  5. Step 5: Solve for x
    x = 1,064,830.36/884.76
  6. Step 6: Final answer
    x = 1,203.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.