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Finding the Fourth Proportional to 499.34, 684.02 and 483.68

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Solution

The fourth proportional to 499.34, 684.02 and 483.68 is: 662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.34 : 684.02 = 483.68 : x
  2. Step 2: Convert to fraction form
    499.34/684.02 = 483.68/x
  3. Step 3: Cross multiply
    499.34x = 684.02 × 483.68
  4. Step 4: Simplify right side
    499.34x = 330,846.79
  5. Step 5: Solve for x
    x = 330,846.79/499.34
  6. Step 6: Final answer
    x = 662.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.