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Finding the Fourth Proportional to 504, 693.78 and 448.62

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Solution

The fourth proportional to 504, 693.78 and 448.62 is: 617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 693.78 = 448.62 : x
  2. Step 2: Convert to fraction form
    504/693.78 = 448.62/x
  3. Step 3: Cross multiply
    504x = 693.78 × 448.62
  4. Step 4: Simplify right side
    504x = 311,243.58
  5. Step 5: Solve for x
    x = 311,243.58/504
  6. Step 6: Final answer
    x = 617.55

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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.