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Finding the Fourth Proportional to 499.04, 689.21 and 389.82

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Solution

The fourth proportional to 499.04, 689.21 and 389.82 is: 538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.04 : 689.21 = 389.82 : x
  2. Step 2: Convert to fraction form
    499.04/689.21 = 389.82/x
  3. Step 3: Cross multiply
    499.04x = 689.21 × 389.82
  4. Step 4: Simplify right side
    499.04x = 268,667.84
  5. Step 5: Solve for x
    x = 268,667.84/499.04
  6. Step 6: Final answer
    x = 538.37

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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.