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Finding the Fourth Proportional to 557.08, 768.47 and 360.25

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Solution

The fourth proportional to 557.08, 768.47 and 360.25 is: 496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.08 : 768.47 = 360.25 : x
  2. Step 2: Convert to fraction form
    557.08/768.47 = 360.25/x
  3. Step 3: Cross multiply
    557.08x = 768.47 × 360.25
  4. Step 4: Simplify right side
    557.08x = 276,842.22
  5. Step 5: Solve for x
    x = 276,842.22/557.08
  6. Step 6: Final answer
    x = 496.95

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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.