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Finding the Fourth Proportional to 682.46, 1,018.76 and 631.74

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Solution

The fourth proportional to 682.46, 1,018.76 and 631.74 is: 943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.46 : 1,018.76 = 631.74 : x
  2. Step 2: Convert to fraction form
    682.46/1,018.76 = 631.74/x
  3. Step 3: Cross multiply
    682.46x = 1,018.76 × 631.74
  4. Step 4: Simplify right side
    682.46x = 643,591.44
  5. Step 5: Solve for x
    x = 643,591.44/682.46
  6. Step 6: Final answer
    x = 943.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.