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Finding the Fourth Proportional to 572.24, 857.56 and 328.44

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Solution

The fourth proportional to 572.24, 857.56 and 328.44 is: 492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.24 : 857.56 = 328.44 : x
  2. Step 2: Convert to fraction form
    572.24/857.56 = 328.44/x
  3. Step 3: Cross multiply
    572.24x = 857.56 × 328.44
  4. Step 4: Simplify right side
    572.24x = 281,657.01
  5. Step 5: Solve for x
    x = 281,657.01/572.24
  6. Step 6: Final answer
    x = 492.20

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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.