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Finding the Fourth Proportional to 483.92, 722.66 and 458.96

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Solution

The fourth proportional to 483.92, 722.66 and 458.96 is: 685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.92 : 722.66 = 458.96 : x
  2. Step 2: Convert to fraction form
    483.92/722.66 = 458.96/x
  3. Step 3: Cross multiply
    483.92x = 722.66 × 458.96
  4. Step 4: Simplify right side
    483.92x = 331,672.03
  5. Step 5: Solve for x
    x = 331,672.03/483.92
  6. Step 6: Final answer
    x = 685.39

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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.