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Finding the Fourth Proportional to 544.27, 813.09 and 347.71

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Solution

The fourth proportional to 544.27, 813.09 and 347.71 is: 519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.27 : 813.09 = 347.71 : x
  2. Step 2: Convert to fraction form
    544.27/813.09 = 347.71/x
  3. Step 3: Cross multiply
    544.27x = 813.09 × 347.71
  4. Step 4: Simplify right side
    544.27x = 282,719.52
  5. Step 5: Solve for x
    x = 282,719.52/544.27
  6. Step 6: Final answer
    x = 519.45

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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.