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Finding the Fourth Proportional to 849.00, 1,271.08 and 523.38

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Solution

The fourth proportional to 849.00, 1,271.08 and 523.38 is: 783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.00 : 1,271.08 = 523.38 : x
  2. Step 2: Convert to fraction form
    849.00/1,271.08 = 523.38/x
  3. Step 3: Cross multiply
    849.00x = 1,271.08 × 523.38
  4. Step 4: Simplify right side
    849.00x = 665,258.41
  5. Step 5: Solve for x
    x = 665,258.41/849.00
  6. Step 6: Final answer
    x = 783.58

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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.