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Finding the Fourth Proportional to 944.45, 1,410.86 and 682.21

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Solution

The fourth proportional to 944.45, 1,410.86 and 682.21 is: 1,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.45 : 1,410.86 = 682.21 : x
  2. Step 2: Convert to fraction form
    944.45/1,410.86 = 682.21/x
  3. Step 3: Cross multiply
    944.45x = 1,410.86 × 682.21
  4. Step 4: Simplify right side
    944.45x = 962,492.34
  5. Step 5: Solve for x
    x = 962,492.34/944.45
  6. Step 6: Final answer
    x = 1,019.11

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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.