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Finding the Fourth Proportional to 898.64, 1,338.75 and 842.75

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Solution

The fourth proportional to 898.64, 1,338.75 and 842.75 is: 1,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.64 : 1,338.75 = 842.75 : x
  2. Step 2: Convert to fraction form
    898.64/1,338.75 = 842.75/x
  3. Step 3: Cross multiply
    898.64x = 1,338.75 × 842.75
  4. Step 4: Simplify right side
    898.64x = 1,128,227.35
  5. Step 5: Solve for x
    x = 1,128,227.35/898.64
  6. Step 6: Final answer
    x = 1,255.48

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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.