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Finding the Fourth Proportional to 894.77, 1,342.00 and 245.33

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Solution

The fourth proportional to 894.77, 1,342.00 and 245.33 is: 367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.77 : 1,342.00 = 245.33 : x
  2. Step 2: Convert to fraction form
    894.77/1,342.00 = 245.33/x
  3. Step 3: Cross multiply
    894.77x = 1,342.00 × 245.33
  4. Step 4: Simplify right side
    894.77x = 329,236.52
  5. Step 5: Solve for x
    x = 329,236.52/894.77
  6. Step 6: Final answer
    x = 367.96

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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.