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Finding the Fourth Proportional to 522.58, 721.14 and 289.70

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Solution

The fourth proportional to 522.58, 721.14 and 289.70 is: 399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.58 : 721.14 = 289.70 : x
  2. Step 2: Convert to fraction form
    522.58/721.14 = 289.70/x
  3. Step 3: Cross multiply
    522.58x = 721.14 × 289.70
  4. Step 4: Simplify right side
    522.58x = 208,914.26
  5. Step 5: Solve for x
    x = 208,914.26/522.58
  6. Step 6: Final answer
    x = 399.77

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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.