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Finding the Fourth Proportional to 992.42, 1,489.26 and 582.38

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Solution

The fourth proportional to 992.42, 1,489.26 and 582.38 is: 873.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.42 : 1,489.26 = 582.38 : x
  2. Step 2: Convert to fraction form
    992.42/1,489.26 = 582.38/x
  3. Step 3: Cross multiply
    992.42x = 1,489.26 × 582.38
  4. Step 4: Simplify right side
    992.42x = 867,315.24
  5. Step 5: Solve for x
    x = 867,315.24/992.42
  6. Step 6: Final answer
    x = 873.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.