Home / 682.24-1,023.84-631.56

Finding the Fourth Proportional to 682.24, 1,023.84 and 631.56

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Solution

The fourth proportional to 682.24, 1,023.84 and 631.56 is: 947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.24 : 1,023.84 = 631.56 : x
  2. Step 2: Convert to fraction form
    682.24/1,023.84 = 631.56/x
  3. Step 3: Cross multiply
    682.24x = 1,023.84 × 631.56
  4. Step 4: Simplify right side
    682.24x = 646,616.39
  5. Step 5: Solve for x
    x = 646,616.39/682.24
  6. Step 6: Final answer
    x = 947.78

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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.