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Finding the Fourth Proportional to 572.35, 858.59 and 225.64

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Solution

The fourth proportional to 572.35, 858.59 and 225.64 is: 338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.35 : 858.59 = 225.64 : x
  2. Step 2: Convert to fraction form
    572.35/858.59 = 225.64/x
  3. Step 3: Cross multiply
    572.35x = 858.59 × 225.64
  4. Step 4: Simplify right side
    572.35x = 193,726.83
  5. Step 5: Solve for x
    x = 193,726.83/572.35
  6. Step 6: Final answer
    x = 338.48

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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.