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Finding the Fourth Proportional to 556.06, 767.43 and 335.02

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Solution

The fourth proportional to 556.06, 767.43 and 335.02 is: 462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.06 : 767.43 = 335.02 : x
  2. Step 2: Convert to fraction form
    556.06/767.43 = 335.02/x
  3. Step 3: Cross multiply
    556.06x = 767.43 × 335.02
  4. Step 4: Simplify right side
    556.06x = 257,104.40
  5. Step 5: Solve for x
    x = 257,104.40/556.06
  6. Step 6: Final answer
    x = 462.37

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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.