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Finding the Fourth Proportional to 482.26, 722.59 and 433.78

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Solution

The fourth proportional to 482.26, 722.59 and 433.78 is: 649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.26 : 722.59 = 433.78 : x
  2. Step 2: Convert to fraction form
    482.26/722.59 = 433.78/x
  3. Step 3: Cross multiply
    482.26x = 722.59 × 433.78
  4. Step 4: Simplify right side
    482.26x = 313,445.09
  5. Step 5: Solve for x
    x = 313,445.09/482.26
  6. Step 6: Final answer
    x = 649.95

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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.