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Finding the Fourth Proportional to 556.69, 768.26 and 346.99

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Solution

The fourth proportional to 556.69, 768.26 and 346.99 is: 478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.69 : 768.26 = 346.99 : x
  2. Step 2: Convert to fraction form
    556.69/768.26 = 346.99/x
  3. Step 3: Cross multiply
    556.69x = 768.26 × 346.99
  4. Step 4: Simplify right side
    556.69x = 266,578.54
  5. Step 5: Solve for x
    x = 266,578.54/556.69
  6. Step 6: Final answer
    x = 478.86

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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.