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Finding the Fourth Proportional to 619.60, 855.92 and 564.25

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Solution

The fourth proportional to 619.60, 855.92 and 564.25 is: 779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.60 : 855.92 = 564.25 : x
  2. Step 2: Convert to fraction form
    619.60/855.92 = 564.25/x
  3. Step 3: Cross multiply
    619.60x = 855.92 × 564.25
  4. Step 4: Simplify right side
    619.60x = 482,952.86
  5. Step 5: Solve for x
    x = 482,952.86/619.60
  6. Step 6: Final answer
    x = 779.46

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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.