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Finding the Fourth Proportional to 556.06, 767.14 and 398.70

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Solution

The fourth proportional to 556.06, 767.14 and 398.70 is: 550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.06 : 767.14 = 398.70 : x
  2. Step 2: Convert to fraction form
    556.06/767.14 = 398.70/x
  3. Step 3: Cross multiply
    556.06x = 767.14 × 398.70
  4. Step 4: Simplify right side
    556.06x = 305,858.72
  5. Step 5: Solve for x
    x = 305,858.72/556.06
  6. Step 6: Final answer
    x = 550.05

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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.