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Finding the Fourth Proportional to 684.99, 945.27 and 405.26

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Solution

The fourth proportional to 684.99, 945.27 and 405.26 is: 559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.99 : 945.27 = 405.26 : x
  2. Step 2: Convert to fraction form
    684.99/945.27 = 405.26/x
  3. Step 3: Cross multiply
    684.99x = 945.27 × 405.26
  4. Step 4: Simplify right side
    684.99x = 383,073.37
  5. Step 5: Solve for x
    x = 383,073.37/684.99
  6. Step 6: Final answer
    x = 559.24

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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.