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Finding the Fourth Proportional to 499.41, 688.77 and 433.80

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Solution

The fourth proportional to 499.41, 688.77 and 433.80 is: 598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.41 : 688.77 = 433.80 : x
  2. Step 2: Convert to fraction form
    499.41/688.77 = 433.80/x
  3. Step 3: Cross multiply
    499.41x = 688.77 × 433.80
  4. Step 4: Simplify right side
    499.41x = 298,788.43
  5. Step 5: Solve for x
    x = 298,788.43/499.41
  6. Step 6: Final answer
    x = 598.28

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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.