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Finding the Fourth Proportional to 1,217.75, 1,826.56 and 975.81

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Solution

The fourth proportional to 1,217.75, 1,826.56 and 975.81 is: 1,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.75 : 1,826.56 = 975.81 : x
  2. Step 2: Convert to fraction form
    1,217.75/1,826.56 = 975.81/x
  3. Step 3: Cross multiply
    1,217.75x = 1,826.56 × 975.81
  4. Step 4: Simplify right side
    1,217.75x = 1,782,383.58
  5. Step 5: Solve for x
    x = 1,782,383.58/1,217.75
  6. Step 6: Final answer
    x = 1,463.68

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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.