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Finding the Fourth Proportional to 556.06, 767.73 and 359.86

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Solution

The fourth proportional to 556.06, 767.73 and 359.86 is: 496.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.06 : 767.73 = 359.86 : x
  2. Step 2: Convert to fraction form
    556.06/767.73 = 359.86/x
  3. Step 3: Cross multiply
    556.06x = 767.73 × 359.86
  4. Step 4: Simplify right side
    556.06x = 276,275.32
  5. Step 5: Solve for x
    x = 276,275.32/556.06
  6. Step 6: Final answer
    x = 496.84

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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.