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Finding the Fourth Proportional to 556.56, 838.06 and 486

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Solution

The fourth proportional to 556.56, 838.06 and 486 is: 731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.56 : 838.06 = 486 : x
  2. Step 2: Convert to fraction form
    556.56/838.06 = 486/x
  3. Step 3: Cross multiply
    556.56x = 838.06 × 486
  4. Step 4: Simplify right side
    556.56x = 407,297.16
  5. Step 5: Solve for x
    x = 407,297.16/556.56
  6. Step 6: Final answer
    x = 731.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.