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Finding the Fourth Proportional to 482.49, 719.69 and 421.74

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Solution

The fourth proportional to 482.49, 719.69 and 421.74 is: 629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.49 : 719.69 = 421.74 : x
  2. Step 2: Convert to fraction form
    482.49/719.69 = 421.74/x
  3. Step 3: Cross multiply
    482.49x = 719.69 × 421.74
  4. Step 4: Simplify right side
    482.49x = 303,519.95
  5. Step 5: Solve for x
    x = 303,519.95/482.49
  6. Step 6: Final answer
    x = 629.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.