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Finding the Fourth Proportional to 850.85, 1,271.10 and 540.21

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Solution

The fourth proportional to 850.85, 1,271.10 and 540.21 is: 807.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.85 : 1,271.10 = 540.21 : x
  2. Step 2: Convert to fraction form
    850.85/1,271.10 = 540.21/x
  3. Step 3: Cross multiply
    850.85x = 1,271.10 × 540.21
  4. Step 4: Simplify right side
    850.85x = 686,660.93
  5. Step 5: Solve for x
    x = 686,660.93/850.85
  6. Step 6: Final answer
    x = 807.03

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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.