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Finding the Fourth Proportional to 682.95, 1,025.94 and 423.15

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Solution

The fourth proportional to 682.95, 1,025.94 and 423.15 is: 635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.95 : 1,025.94 = 423.15 : x
  2. Step 2: Convert to fraction form
    682.95/1,025.94 = 423.15/x
  3. Step 3: Cross multiply
    682.95x = 1,025.94 × 423.15
  4. Step 4: Simplify right side
    682.95x = 434,126.51
  5. Step 5: Solve for x
    x = 434,126.51/682.95
  6. Step 6: Final answer
    x = 635.66

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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.