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Finding the Fourth Proportional to 572.80, 858.38 and 367.06

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Solution

The fourth proportional to 572.80, 858.38 and 367.06 is: 550.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.80 : 858.38 = 367.06 : x
  2. Step 2: Convert to fraction form
    572.80/858.38 = 367.06/x
  3. Step 3: Cross multiply
    572.80x = 858.38 × 367.06
  4. Step 4: Simplify right side
    572.80x = 315,076.96
  5. Step 5: Solve for x
    x = 315,076.96/572.80
  6. Step 6: Final answer
    x = 550.06

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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.