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Finding the Fourth Proportional to 897.34, 1,238.32 and 504.37

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Solution

The fourth proportional to 897.34, 1,238.32 and 504.37 is: 696.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.34 : 1,238.32 = 504.37 : x
  2. Step 2: Convert to fraction form
    897.34/1,238.32 = 504.37/x
  3. Step 3: Cross multiply
    897.34x = 1,238.32 × 504.37
  4. Step 4: Simplify right side
    897.34x = 624,571.46
  5. Step 5: Solve for x
    x = 624,571.46/897.34
  6. Step 6: Final answer
    x = 696.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.