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Finding the Fourth Proportional to 849.69, 1,271.80 and 438.27

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Solution

The fourth proportional to 849.69, 1,271.80 and 438.27 is: 655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.69 : 1,271.80 = 438.27 : x
  2. Step 2: Convert to fraction form
    849.69/1,271.80 = 438.27/x
  3. Step 3: Cross multiply
    849.69x = 1,271.80 × 438.27
  4. Step 4: Simplify right side
    849.69x = 557,387.56
  5. Step 5: Solve for x
    x = 557,387.56/849.69
  6. Step 6: Final answer
    x = 655.99

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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.