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Finding the Fourth Proportional to 992.85, 1,489.55 and 472.43

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Solution

The fourth proportional to 992.85, 1,489.55 and 472.43 is: 708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.85 : 1,489.55 = 472.43 : x
  2. Step 2: Convert to fraction form
    992.85/1,489.55 = 472.43/x
  3. Step 3: Cross multiply
    992.85x = 1,489.55 × 472.43
  4. Step 4: Simplify right side
    992.85x = 703,698.30
  5. Step 5: Solve for x
    x = 703,698.30/992.85
  6. Step 6: Final answer
    x = 708.77

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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.