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Finding the Fourth Proportional to 504, 696.36 and 448.25

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Solution

The fourth proportional to 504, 696.36 and 448.25 is: 619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 696.36 = 448.25 : x
  2. Step 2: Convert to fraction form
    504/696.36 = 448.25/x
  3. Step 3: Cross multiply
    504x = 696.36 × 448.25
  4. Step 4: Simplify right side
    504x = 312,137.65
  5. Step 5: Solve for x
    x = 312,137.65/504
  6. Step 6: Final answer
    x = 619.32

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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.