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Finding the Fourth Proportional to 992.88, 1,489.33 and 262.53

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Solution

The fourth proportional to 992.88, 1,489.33 and 262.53 is: 393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.88 : 1,489.33 = 262.53 : x
  2. Step 2: Convert to fraction form
    992.88/1,489.33 = 262.53/x
  3. Step 3: Cross multiply
    992.88x = 1,489.33 × 262.53
  4. Step 4: Simplify right side
    992.88x = 390,993.80
  5. Step 5: Solve for x
    x = 390,993.80/992.88
  6. Step 6: Final answer
    x = 393.80

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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.