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Finding the Fourth Proportional to 992.52, 1,489.03 and 582

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Solution

The fourth proportional to 992.52, 1,489.03 and 582 is: 873.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.52 : 1,489.03 = 582 : x
  2. Step 2: Convert to fraction form
    992.52/1,489.03 = 582/x
  3. Step 3: Cross multiply
    992.52x = 1,489.03 × 582
  4. Step 4: Simplify right side
    992.52x = 866,615.46
  5. Step 5: Solve for x
    x = 866,615.46/992.52
  6. Step 6: Final answer
    x = 873.15

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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.