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Finding the Fourth Proportional to 682.30, 1,023.45 and 648.70

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Solution

The fourth proportional to 682.30, 1,023.45 and 648.70 is: 973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.30 : 1,023.45 = 648.70 : x
  2. Step 2: Convert to fraction form
    682.30/1,023.45 = 648.70/x
  3. Step 3: Cross multiply
    682.30x = 1,023.45 × 648.70
  4. Step 4: Simplify right side
    682.30x = 663,912.02
  5. Step 5: Solve for x
    x = 663,912.02/682.30
  6. Step 6: Final answer
    x = 973.05

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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.