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Finding the Fourth Proportional to 482.98, 722.87 and 396.53

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Solution

The fourth proportional to 482.98, 722.87 and 396.53 is: 593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.98 : 722.87 = 396.53 : x
  2. Step 2: Convert to fraction form
    482.98/722.87 = 396.53/x
  3. Step 3: Cross multiply
    482.98x = 722.87 × 396.53
  4. Step 4: Simplify right side
    482.98x = 286,640.47
  5. Step 5: Solve for x
    x = 286,640.47/482.98
  6. Step 6: Final answer
    x = 593.48

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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.