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Finding the Fourth Proportional to 963.41, 1,328.10 and 682.78

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Solution

The fourth proportional to 963.41, 1,328.10 and 682.78 is: 941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.41 : 1,328.10 = 682.78 : x
  2. Step 2: Convert to fraction form
    963.41/1,328.10 = 682.78/x
  3. Step 3: Cross multiply
    963.41x = 1,328.10 × 682.78
  4. Step 4: Simplify right side
    963.41x = 906,800.12
  5. Step 5: Solve for x
    x = 906,800.12/963.41
  6. Step 6: Final answer
    x = 941.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.