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Finding the Fourth Proportional to 572.63, 857.21 and 367.02

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Solution

The fourth proportional to 572.63, 857.21 and 367.02 is: 549.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.63 : 857.21 = 367.02 : x
  2. Step 2: Convert to fraction form
    572.63/857.21 = 367.02/x
  3. Step 3: Cross multiply
    572.63x = 857.21 × 367.02
  4. Step 4: Simplify right side
    572.63x = 314,611.38
  5. Step 5: Solve for x
    x = 314,611.38/572.63
  6. Step 6: Final answer
    x = 549.42

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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.