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Finding the Fourth Proportional to 650.25, 894.47 and 623.61

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Solution

The fourth proportional to 650.25, 894.47 and 623.61 is: 857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.25 : 894.47 = 623.61 : x
  2. Step 2: Convert to fraction form
    650.25/894.47 = 623.61/x
  3. Step 3: Cross multiply
    650.25x = 894.47 × 623.61
  4. Step 4: Simplify right side
    650.25x = 557,797.32
  5. Step 5: Solve for x
    x = 557,797.32/650.25
  6. Step 6: Final answer
    x = 857.82

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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.