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Finding the Fourth Proportional to 623.22, 858.86 and 448.26

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Solution

The fourth proportional to 623.22, 858.86 and 448.26 is: 617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.22 : 858.86 = 448.26 : x
  2. Step 2: Convert to fraction form
    623.22/858.86 = 448.26/x
  3. Step 3: Cross multiply
    623.22x = 858.86 × 448.26
  4. Step 4: Simplify right side
    623.22x = 384,992.58
  5. Step 5: Solve for x
    x = 384,992.58/623.22
  6. Step 6: Final answer
    x = 617.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.