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Finding the Fourth Proportional to 482.42, 719.39 and 478.03

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Solution

The fourth proportional to 482.42, 719.39 and 478.03 is: 712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.42 : 719.39 = 478.03 : x
  2. Step 2: Convert to fraction form
    482.42/719.39 = 478.03/x
  3. Step 3: Cross multiply
    482.42x = 719.39 × 478.03
  4. Step 4: Simplify right side
    482.42x = 343,891.43
  5. Step 5: Solve for x
    x = 343,891.43/482.42
  6. Step 6: Final answer
    x = 712.85

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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.