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Finding the Fourth Proportional to 849.08, 1,271.46 and 777.80

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Solution

The fourth proportional to 849.08, 1,271.46 and 777.80 is: 1,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.08 : 1,271.46 = 777.80 : x
  2. Step 2: Convert to fraction form
    849.08/1,271.46 = 777.80/x
  3. Step 3: Cross multiply
    849.08x = 1,271.46 × 777.80
  4. Step 4: Simplify right side
    849.08x = 988,941.59
  5. Step 5: Solve for x
    x = 988,941.59/849.08
  6. Step 6: Final answer
    x = 1,164.72

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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.