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Finding the Fourth Proportional to 559.25, 771.77 and 335.40

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Solution

The fourth proportional to 559.25, 771.77 and 335.40 is: 462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.25 : 771.77 = 335.40 : x
  2. Step 2: Convert to fraction form
    559.25/771.77 = 335.40/x
  3. Step 3: Cross multiply
    559.25x = 771.77 × 335.40
  4. Step 4: Simplify right side
    559.25x = 258,851.24
  5. Step 5: Solve for x
    x = 258,851.24/559.25
  6. Step 6: Final answer
    x = 462.86

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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.