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Finding the Fourth Proportional to 665.75, 992.01 and 593.05

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Solution

The fourth proportional to 665.75, 992.01 and 593.05 is: 883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.75 : 992.01 = 593.05 : x
  2. Step 2: Convert to fraction form
    665.75/992.01 = 593.05/x
  3. Step 3: Cross multiply
    665.75x = 992.01 × 593.05
  4. Step 4: Simplify right side
    665.75x = 588,311.53
  5. Step 5: Solve for x
    x = 588,311.53/665.75
  6. Step 6: Final answer
    x = 883.68

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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.