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Finding the Fourth Proportional to 897.36, 1,238.42 and 504.48

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Solution

The fourth proportional to 897.36, 1,238.42 and 504.48 is: 696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.36 : 1,238.42 = 504.48 : x
  2. Step 2: Convert to fraction form
    897.36/1,238.42 = 504.48/x
  3. Step 3: Cross multiply
    897.36x = 1,238.42 × 504.48
  4. Step 4: Simplify right side
    897.36x = 624,758.12
  5. Step 5: Solve for x
    x = 624,758.12/897.36
  6. Step 6: Final answer
    x = 696.22

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1.5x scale

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.