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Finding the Fourth Proportional to 522.63, 721.23 and 289.75

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Solution

The fourth proportional to 522.63, 721.23 and 289.75 is: 399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.63 : 721.23 = 289.75 : x
  2. Step 2: Convert to fraction form
    522.63/721.23 = 289.75/x
  3. Step 3: Cross multiply
    522.63x = 721.23 × 289.75
  4. Step 4: Simplify right side
    522.63x = 208,976.39
  5. Step 5: Solve for x
    x = 208,976.39/522.63
  6. Step 6: Final answer
    x = 399.86

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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.