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Finding the Fourth Proportional to 573.21, 857.69 and 342.26

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Solution

The fourth proportional to 573.21, 857.69 and 342.26 is: 512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.21 : 857.69 = 342.26 : x
  2. Step 2: Convert to fraction form
    573.21/857.69 = 342.26/x
  3. Step 3: Cross multiply
    573.21x = 857.69 × 342.26
  4. Step 4: Simplify right side
    573.21x = 293,551.48
  5. Step 5: Solve for x
    x = 293,551.48/573.21
  6. Step 6: Final answer
    x = 512.12

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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.