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Finding the Fourth Proportional to 523.71, 722.71 and 290.83

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Solution

The fourth proportional to 523.71, 722.71 and 290.83 is: 401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.71 : 722.71 = 290.83 : x
  2. Step 2: Convert to fraction form
    523.71/722.71 = 290.83/x
  3. Step 3: Cross multiply
    523.71x = 722.71 × 290.83
  4. Step 4: Simplify right side
    523.71x = 210,185.75
  5. Step 5: Solve for x
    x = 210,185.75/523.71
  6. Step 6: Final answer
    x = 401.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.