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Finding the Fourth Proportional to 556.40, 767.84 and 335.31

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Solution

The fourth proportional to 556.40, 767.84 and 335.31 is: 462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.40 : 767.84 = 335.31 : x
  2. Step 2: Convert to fraction form
    556.40/767.84 = 335.31/x
  3. Step 3: Cross multiply
    556.40x = 767.84 × 335.31
  4. Step 4: Simplify right side
    556.40x = 257,466.28
  5. Step 5: Solve for x
    x = 257,466.28/556.40
  6. Step 6: Final answer
    x = 462.73

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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.