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Finding the Fourth Proportional to 853.02, 1,278.16 and 771.00

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Solution

The fourth proportional to 853.02, 1,278.16 and 771.00 is: 1,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.02 : 1,278.16 = 771.00 : x
  2. Step 2: Convert to fraction form
    853.02/1,278.16 = 771.00/x
  3. Step 3: Cross multiply
    853.02x = 1,278.16 × 771.00
  4. Step 4: Simplify right side
    853.02x = 985,464.23
  5. Step 5: Solve for x
    x = 985,464.23/853.02
  6. Step 6: Final answer
    x = 1,155.27

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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.