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Finding the Fourth Proportional to 626.99, 865.01 and 406.06

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Solution

The fourth proportional to 626.99, 865.01 and 406.06 is: 560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.99 : 865.01 = 406.06 : x
  2. Step 2: Convert to fraction form
    626.99/865.01 = 406.06/x
  3. Step 3: Cross multiply
    626.99x = 865.01 × 406.06
  4. Step 4: Simplify right side
    626.99x = 351,243.45
  5. Step 5: Solve for x
    x = 351,243.45/626.99
  6. Step 6: Final answer
    x = 560.21

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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.