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Finding the Fourth Proportional to 559.63, 772.14 and 335.53

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Solution

The fourth proportional to 559.63, 772.14 and 335.53 is: 462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.63 : 772.14 = 335.53 : x
  2. Step 2: Convert to fraction form
    559.63/772.14 = 335.53/x
  3. Step 3: Cross multiply
    559.63x = 772.14 × 335.53
  4. Step 4: Simplify right side
    559.63x = 259,076.13
  5. Step 5: Solve for x
    x = 259,076.13/559.63
  6. Step 6: Final answer
    x = 462.94

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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.