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Finding the Fourth Proportional to 719.17, 992.05 and 431.65

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Solution

The fourth proportional to 719.17, 992.05 and 431.65 is: 595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.17 : 992.05 = 431.65 : x
  2. Step 2: Convert to fraction form
    719.17/992.05 = 431.65/x
  3. Step 3: Cross multiply
    719.17x = 992.05 × 431.65
  4. Step 4: Simplify right side
    719.17x = 428,213.42
  5. Step 5: Solve for x
    x = 428,213.42/719.17
  6. Step 6: Final answer
    x = 595.43

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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.