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Finding the Fourth Proportional to 684.63, 1,028.76 and 410.94

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Solution

The fourth proportional to 684.63, 1,028.76 and 410.94 is: 617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.63 : 1,028.76 = 410.94 : x
  2. Step 2: Convert to fraction form
    684.63/1,028.76 = 410.94/x
  3. Step 3: Cross multiply
    684.63x = 1,028.76 × 410.94
  4. Step 4: Simplify right side
    684.63x = 422,758.63
  5. Step 5: Solve for x
    x = 422,758.63/684.63
  6. Step 6: Final answer
    x = 617.50

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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.