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Finding the Fourth Proportional to 719.31, 992.75 and 523.02

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Solution

The fourth proportional to 719.31, 992.75 and 523.02 is: 721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.31 : 992.75 = 523.02 : x
  2. Step 2: Convert to fraction form
    719.31/992.75 = 523.02/x
  3. Step 3: Cross multiply
    719.31x = 992.75 × 523.02
  4. Step 4: Simplify right side
    719.31x = 519,228.11
  5. Step 5: Solve for x
    x = 519,228.11/719.31
  6. Step 6: Final answer
    x = 721.84

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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.