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Finding the Fourth Proportional to 482.58, 722.43 and 311.22

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Solution

The fourth proportional to 482.58, 722.43 and 311.22 is: 465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.58 : 722.43 = 311.22 : x
  2. Step 2: Convert to fraction form
    482.58/722.43 = 311.22/x
  3. Step 3: Cross multiply
    482.58x = 722.43 × 311.22
  4. Step 4: Simplify right side
    482.58x = 224,834.66
  5. Step 5: Solve for x
    x = 224,834.66/482.58
  6. Step 6: Final answer
    x = 465.90

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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.