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Finding the Fourth Proportional to 564.89, 848.16 and 419.09

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Solution

The fourth proportional to 564.89, 848.16 and 419.09 is: 629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.89 : 848.16 = 419.09 : x
  2. Step 2: Convert to fraction form
    564.89/848.16 = 419.09/x
  3. Step 3: Cross multiply
    564.89x = 848.16 × 419.09
  4. Step 4: Simplify right side
    564.89x = 355,451.13
  5. Step 5: Solve for x
    x = 355,451.13/564.89
  6. Step 6: Final answer
    x = 629.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.