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Finding the Fourth Proportional to 665.96, 992.28 and 593.21

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Solution

The fourth proportional to 665.96, 992.28 and 593.21 is: 883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.96 : 992.28 = 593.21 : x
  2. Step 2: Convert to fraction form
    665.96/992.28 = 593.21/x
  3. Step 3: Cross multiply
    665.96x = 992.28 × 593.21
  4. Step 4: Simplify right side
    665.96x = 588,635.12
  5. Step 5: Solve for x
    x = 588,635.12/665.96
  6. Step 6: Final answer
    x = 883.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.