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Finding the Fourth Proportional to 559.36, 772.27 and 360.28

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Solution

The fourth proportional to 559.36, 772.27 and 360.28 is: 497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.36 : 772.27 = 360.28 : x
  2. Step 2: Convert to fraction form
    559.36/772.27 = 360.28/x
  3. Step 3: Cross multiply
    559.36x = 772.27 × 360.28
  4. Step 4: Simplify right side
    559.36x = 278,233.50
  5. Step 5: Solve for x
    x = 278,233.50/559.36
  6. Step 6: Final answer
    x = 497.41

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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.