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Finding the Fourth Proportional to 564.98, 779.58 and 355.05

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Solution

The fourth proportional to 564.98, 779.58 and 355.05 is: 489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.98 : 779.58 = 355.05 : x
  2. Step 2: Convert to fraction form
    564.98/779.58 = 355.05/x
  3. Step 3: Cross multiply
    564.98x = 779.58 × 355.05
  4. Step 4: Simplify right side
    564.98x = 276,789.88
  5. Step 5: Solve for x
    x = 276,789.88/564.98
  6. Step 6: Final answer
    x = 489.92

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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.