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Finding the Fourth Proportional to 1,308.92, 1,794.60 and 1,285.54

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Solution

The fourth proportional to 1,308.92, 1,794.60 and 1,285.54 is: 1,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.92 : 1,794.60 = 1,285.54 : x
  2. Step 2: Convert to fraction form
    1,308.92/1,794.60 = 1,285.54/x
  3. Step 3: Cross multiply
    1,308.92x = 1,794.60 × 1,285.54
  4. Step 4: Simplify right side
    1,308.92x = 2,307,030.08
  5. Step 5: Solve for x
    x = 2,307,030.08/1,308.92
  6. Step 6: Final answer
    x = 1,762.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.