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Finding the Fourth Proportional to 992.90, 1,489.28 and 299.55

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Solution

The fourth proportional to 992.90, 1,489.28 and 299.55 is: 449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.90 : 1,489.28 = 299.55 : x
  2. Step 2: Convert to fraction form
    992.90/1,489.28 = 299.55/x
  3. Step 3: Cross multiply
    992.90x = 1,489.28 × 299.55
  4. Step 4: Simplify right side
    992.90x = 446,113.82
  5. Step 5: Solve for x
    x = 446,113.82/992.90
  6. Step 6: Final answer
    x = 449.31

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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.