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Finding the Fourth Proportional to 609.99, 840.84 and 400.14

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Solution

The fourth proportional to 609.99, 840.84 and 400.14 is: 551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.99 : 840.84 = 400.14 : x
  2. Step 2: Convert to fraction form
    609.99/840.84 = 400.14/x
  3. Step 3: Cross multiply
    609.99x = 840.84 × 400.14
  4. Step 4: Simplify right side
    609.99x = 336,453.72
  5. Step 5: Solve for x
    x = 336,453.72/609.99
  6. Step 6: Final answer
    x = 551.57

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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.