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Finding the Fourth Proportional to 504.98, 755.74 and 319.80

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Solution

The fourth proportional to 504.98, 755.74 and 319.80 is: 478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.98 : 755.74 = 319.80 : x
  2. Step 2: Convert to fraction form
    504.98/755.74 = 319.80/x
  3. Step 3: Cross multiply
    504.98x = 755.74 × 319.80
  4. Step 4: Simplify right side
    504.98x = 241,685.65
  5. Step 5: Solve for x
    x = 241,685.65/504.98
  6. Step 6: Final answer
    x = 478.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.