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Finding the Fourth Proportional to 851.61, 1,271.90 and 804.23

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Solution

The fourth proportional to 851.61, 1,271.90 and 804.23 is: 1,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.61 : 1,271.90 = 804.23 : x
  2. Step 2: Convert to fraction form
    851.61/1,271.90 = 804.23/x
  3. Step 3: Cross multiply
    851.61x = 1,271.90 × 804.23
  4. Step 4: Simplify right side
    851.61x = 1,022,900.56
  5. Step 5: Solve for x
    x = 1,022,900.56/851.61
  6. Step 6: Final answer
    x = 1,201.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.