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Finding the Fourth Proportional to 556.26, 767.14 and 359.56

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Solution

The fourth proportional to 556.26, 767.14 and 359.56 is: 495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.26 : 767.14 = 359.56 : x
  2. Step 2: Convert to fraction form
    556.26/767.14 = 359.56/x
  3. Step 3: Cross multiply
    556.26x = 767.14 × 359.56
  4. Step 4: Simplify right side
    556.26x = 275,832.86
  5. Step 5: Solve for x
    x = 275,832.86/556.26
  6. Step 6: Final answer
    x = 495.87

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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.