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Finding the Fourth Proportional to 556.14, 767.61 and 379.02

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Solution

The fourth proportional to 556.14, 767.61 and 379.02 is: 523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.14 : 767.61 = 379.02 : x
  2. Step 2: Convert to fraction form
    556.14/767.61 = 379.02/x
  3. Step 3: Cross multiply
    556.14x = 767.61 × 379.02
  4. Step 4: Simplify right side
    556.14x = 290,939.54
  5. Step 5: Solve for x
    x = 290,939.54/556.14
  6. Step 6: Final answer
    x = 523.14

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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.