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Finding the Fourth Proportional to 684.37, 1,026.59 and 412.21

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Solution

The fourth proportional to 684.37, 1,026.59 and 412.21 is: 618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.37 : 1,026.59 = 412.21 : x
  2. Step 2: Convert to fraction form
    684.37/1,026.59 = 412.21/x
  3. Step 3: Cross multiply
    684.37x = 1,026.59 × 412.21
  4. Step 4: Simplify right side
    684.37x = 423,170.66
  5. Step 5: Solve for x
    x = 423,170.66/684.37
  6. Step 6: Final answer
    x = 618.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.