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Finding the Fourth Proportional to 682.81, 1,025.15 and 354.02

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Solution

The fourth proportional to 682.81, 1,025.15 and 354.02 is: 531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.81 : 1,025.15 = 354.02 : x
  2. Step 2: Convert to fraction form
    682.81/1,025.15 = 354.02/x
  3. Step 3: Cross multiply
    682.81x = 1,025.15 × 354.02
  4. Step 4: Simplify right side
    682.81x = 362,917.70
  5. Step 5: Solve for x
    x = 362,917.70/682.81
  6. Step 6: Final answer
    x = 531.51

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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.