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Finding the Fourth Proportional to 719.68, 993.44 and 499.52

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Solution

The fourth proportional to 719.68, 993.44 and 499.52 is: 689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.68 : 993.44 = 499.52 : x
  2. Step 2: Convert to fraction form
    719.68/993.44 = 499.52/x
  3. Step 3: Cross multiply
    719.68x = 993.44 × 499.52
  4. Step 4: Simplify right side
    719.68x = 496,243.15
  5. Step 5: Solve for x
    x = 496,243.15/719.68
  6. Step 6: Final answer
    x = 689.53

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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.