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Finding the Fourth Proportional to 719.94, 992.13 and 523.14

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Solution

The fourth proportional to 719.94, 992.13 and 523.14 is: 720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.94 : 992.13 = 523.14 : x
  2. Step 2: Convert to fraction form
    719.94/992.13 = 523.14/x
  3. Step 3: Cross multiply
    719.94x = 992.13 × 523.14
  4. Step 4: Simplify right side
    719.94x = 519,022.89
  5. Step 5: Solve for x
    x = 519,022.89/719.94
  6. Step 6: Final answer
    x = 720.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.