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Finding the Fourth Proportional to 623.08, 865.63 and 617.44

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Solution

The fourth proportional to 623.08, 865.63 and 617.44 is: 857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.08 : 865.63 = 617.44 : x
  2. Step 2: Convert to fraction form
    623.08/865.63 = 617.44/x
  3. Step 3: Cross multiply
    623.08x = 865.63 × 617.44
  4. Step 4: Simplify right side
    623.08x = 534,474.59
  5. Step 5: Solve for x
    x = 534,474.59/623.08
  6. Step 6: Final answer
    x = 857.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.