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Finding the Fourth Proportional to 499.76, 689.76 and 303.28

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Solution

The fourth proportional to 499.76, 689.76 and 303.28 is: 418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.76 : 689.76 = 303.28 : x
  2. Step 2: Convert to fraction form
    499.76/689.76 = 303.28/x
  3. Step 3: Cross multiply
    499.76x = 689.76 × 303.28
  4. Step 4: Simplify right side
    499.76x = 209,190.41
  5. Step 5: Solve for x
    x = 209,190.41/499.76
  6. Step 6: Final answer
    x = 418.58

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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.