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Finding the Fourth Proportional to 719.72, 992.56 and 498.56

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Solution

The fourth proportional to 719.72, 992.56 and 498.56 is: 687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.72 : 992.56 = 498.56 : x
  2. Step 2: Convert to fraction form
    719.72/992.56 = 498.56/x
  3. Step 3: Cross multiply
    719.72x = 992.56 × 498.56
  4. Step 4: Simplify right side
    719.72x = 494,850.71
  5. Step 5: Solve for x
    x = 494,850.71/719.72
  6. Step 6: Final answer
    x = 687.56

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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.