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Finding the Fourth Proportional to 719.91, 992.16 and 523.08

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Solution

The fourth proportional to 719.91, 992.16 and 523.08 is: 720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.91 : 992.16 = 523.08 : x
  2. Step 2: Convert to fraction form
    719.91/992.16 = 523.08/x
  3. Step 3: Cross multiply
    719.91x = 992.16 × 523.08
  4. Step 4: Simplify right side
    719.91x = 518,979.05
  5. Step 5: Solve for x
    x = 518,979.05/719.91
  6. Step 6: Final answer
    x = 720.89

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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.