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Finding the Fourth Proportional to 499.69, 689.38 and 334.01

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Solution

The fourth proportional to 499.69, 689.38 and 334.01 is: 460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.69 : 689.38 = 334.01 : x
  2. Step 2: Convert to fraction form
    499.69/689.38 = 334.01/x
  3. Step 3: Cross multiply
    499.69x = 689.38 × 334.01
  4. Step 4: Simplify right side
    499.69x = 230,260.70
  5. Step 5: Solve for x
    x = 230,260.70/499.69
  6. Step 6: Final answer
    x = 460.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.