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Finding the Fourth Proportional to 609.93, 840.78 and 423.43

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Solution

The fourth proportional to 609.93, 840.78 and 423.43 is: 583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.93 : 840.78 = 423.43 : x
  2. Step 2: Convert to fraction form
    609.93/840.78 = 423.43/x
  3. Step 3: Cross multiply
    609.93x = 840.78 × 423.43
  4. Step 4: Simplify right side
    609.93x = 356,009.37
  5. Step 5: Solve for x
    x = 356,009.37/609.93
  6. Step 6: Final answer
    x = 583.69

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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.