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Finding the Fourth Proportional to 556.12, 767.37 and 335.05

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Solution

The fourth proportional to 556.12, 767.37 and 335.05 is: 462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.12 : 767.37 = 335.05 : x
  2. Step 2: Convert to fraction form
    556.12/767.37 = 335.05/x
  3. Step 3: Cross multiply
    556.12x = 767.37 × 335.05
  4. Step 4: Simplify right side
    556.12x = 257,107.32
  5. Step 5: Solve for x
    x = 257,107.32/556.12
  6. Step 6: Final answer
    x = 462.32

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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.