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Finding the Fourth Proportional to 719.91, 993.33 and 496.02

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Solution

The fourth proportional to 719.91, 993.33 and 496.02 is: 684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.91 : 993.33 = 496.02 : x
  2. Step 2: Convert to fraction form
    719.91/993.33 = 496.02/x
  3. Step 3: Cross multiply
    719.91x = 993.33 × 496.02
  4. Step 4: Simplify right side
    719.91x = 492,711.55
  5. Step 5: Solve for x
    x = 492,711.55/719.91
  6. Step 6: Final answer
    x = 684.41

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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.