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Finding the Fourth Proportional to 499.60, 689.43 and 303.07

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Solution

The fourth proportional to 499.60, 689.43 and 303.07 is: 418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.60 : 689.43 = 303.07 : x
  2. Step 2: Convert to fraction form
    499.60/689.43 = 303.07/x
  3. Step 3: Cross multiply
    499.60x = 689.43 × 303.07
  4. Step 4: Simplify right side
    499.60x = 208,945.55
  5. Step 5: Solve for x
    x = 208,945.55/499.60
  6. Step 6: Final answer
    x = 418.23

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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.