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Finding the Fourth Proportional to 499.37, 689.42 and 375.57

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Solution

The fourth proportional to 499.37, 689.42 and 375.57 is: 518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.37 : 689.42 = 375.57 : x
  2. Step 2: Convert to fraction form
    499.37/689.42 = 375.57/x
  3. Step 3: Cross multiply
    499.37x = 689.42 × 375.57
  4. Step 4: Simplify right side
    499.37x = 258,923.11
  5. Step 5: Solve for x
    x = 258,923.11/499.37
  6. Step 6: Final answer
    x = 518.50

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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.