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Finding the Fourth Proportional to 897.87, 1,238.86 and 504.82

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Solution

The fourth proportional to 897.87, 1,238.86 and 504.82 is: 696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.87 : 1,238.86 = 504.82 : x
  2. Step 2: Convert to fraction form
    897.87/1,238.86 = 504.82/x
  3. Step 3: Cross multiply
    897.87x = 1,238.86 × 504.82
  4. Step 4: Simplify right side
    897.87x = 625,401.31
  5. Step 5: Solve for x
    x = 625,401.31/897.87
  6. Step 6: Final answer
    x = 696.54

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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.