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Finding the Fourth Proportional to 573.94, 858.29 and 427.79

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Solution

The fourth proportional to 573.94, 858.29 and 427.79 is: 639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.94 : 858.29 = 427.79 : x
  2. Step 2: Convert to fraction form
    573.94/858.29 = 427.79/x
  3. Step 3: Cross multiply
    573.94x = 858.29 × 427.79
  4. Step 4: Simplify right side
    573.94x = 367,167.89
  5. Step 5: Solve for x
    x = 367,167.89/573.94
  6. Step 6: Final answer
    x = 639.73

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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.