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Finding the Fourth Proportional to 572.76, 858.24 and 328.56

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Solution

The fourth proportional to 572.76, 858.24 and 328.56 is: 492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.76 : 858.24 = 328.56 : x
  2. Step 2: Convert to fraction form
    572.76/858.24 = 328.56/x
  3. Step 3: Cross multiply
    572.76x = 858.24 × 328.56
  4. Step 4: Simplify right side
    572.76x = 281,983.33
  5. Step 5: Solve for x
    x = 281,983.33/572.76
  6. Step 6: Final answer
    x = 492.32

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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.