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Finding the Fourth Proportional to 992.78, 1,489.20 and 830.60

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Solution

The fourth proportional to 992.78, 1,489.20 and 830.60 is: 1,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.78 : 1,489.20 = 830.60 : x
  2. Step 2: Convert to fraction form
    992.78/1,489.20 = 830.60/x
  3. Step 3: Cross multiply
    992.78x = 1,489.20 × 830.60
  4. Step 4: Simplify right side
    992.78x = 1,236,929.52
  5. Step 5: Solve for x
    x = 1,236,929.52/992.78
  6. Step 6: Final answer
    x = 1,245.93

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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.