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Finding the Fourth Proportional to 941.82, 1,411.30 and 576.10

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Solution

The fourth proportional to 941.82, 1,411.30 and 576.10 is: 863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.82 : 1,411.30 = 576.10 : x
  2. Step 2: Convert to fraction form
    941.82/1,411.30 = 576.10/x
  3. Step 3: Cross multiply
    941.82x = 1,411.30 × 576.10
  4. Step 4: Simplify right side
    941.82x = 813,049.93
  5. Step 5: Solve for x
    x = 813,049.93/941.82
  6. Step 6: Final answer
    x = 863.28

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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.