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Finding the Fourth Proportional to 609.80, 840.38 and 434.84

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Solution

The fourth proportional to 609.80, 840.38 and 434.84 is: 599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.80 : 840.38 = 434.84 : x
  2. Step 2: Convert to fraction form
    609.80/840.38 = 434.84/x
  3. Step 3: Cross multiply
    609.80x = 840.38 × 434.84
  4. Step 4: Simplify right side
    609.80x = 365,424.46
  5. Step 5: Solve for x
    x = 365,424.46/609.80
  6. Step 6: Final answer
    x = 599.26

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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.