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Finding the Fourth Proportional to 942.83, 1,411.50 and 576.50

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Solution

The fourth proportional to 942.83, 1,411.50 and 576.50 is: 863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.83 : 1,411.50 = 576.50 : x
  2. Step 2: Convert to fraction form
    942.83/1,411.50 = 576.50/x
  3. Step 3: Cross multiply
    942.83x = 1,411.50 × 576.50
  4. Step 4: Simplify right side
    942.83x = 813,722.69
  5. Step 5: Solve for x
    x = 813,722.69/942.83
  6. Step 6: Final answer
    x = 863.07

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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.