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Finding the Fourth Proportional to 482.52, 722.34 and 459.48

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Solution

The fourth proportional to 482.52, 722.34 and 459.48 is: 687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.52 : 722.34 = 459.48 : x
  2. Step 2: Convert to fraction form
    482.52/722.34 = 459.48/x
  3. Step 3: Cross multiply
    482.52x = 722.34 × 459.48
  4. Step 4: Simplify right side
    482.52x = 331,900.78
  5. Step 5: Solve for x
    x = 331,900.78/482.52
  6. Step 6: Final answer
    x = 687.85

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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.