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Finding the Fourth Proportional to 573.98, 857.36 and 564.26

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Solution

The fourth proportional to 573.98, 857.36 and 564.26 is: 842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.98 : 857.36 = 564.26 : x
  2. Step 2: Convert to fraction form
    573.98/857.36 = 564.26/x
  3. Step 3: Cross multiply
    573.98x = 857.36 × 564.26
  4. Step 4: Simplify right side
    573.98x = 483,771.08
  5. Step 5: Solve for x
    x = 483,771.08/573.98
  6. Step 6: Final answer
    x = 842.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.