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Finding the Fourth Proportional to 682.42, 1,018.66 and 631.70

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Solution

The fourth proportional to 682.42, 1,018.66 and 631.70 is: 942.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.42 : 1,018.66 = 631.70 : x
  2. Step 2: Convert to fraction form
    682.42/1,018.66 = 631.70/x
  3. Step 3: Cross multiply
    682.42x = 1,018.66 × 631.70
  4. Step 4: Simplify right side
    682.42x = 643,490.86
  5. Step 5: Solve for x
    x = 643,490.86/682.42
  6. Step 6: Final answer
    x = 942.96

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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.