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Finding the Fourth Proportional to 719.73, 992.73 and 498.60

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Solution

The fourth proportional to 719.73, 992.73 and 498.60 is: 687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.73 : 992.73 = 498.60 : x
  2. Step 2: Convert to fraction form
    719.73/992.73 = 498.60/x
  3. Step 3: Cross multiply
    719.73x = 992.73 × 498.60
  4. Step 4: Simplify right side
    719.73x = 494,975.18
  5. Step 5: Solve for x
    x = 494,975.18/719.73
  6. Step 6: Final answer
    x = 687.72

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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.