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Finding the Fourth Proportional to 992.26, 1,488.66 and 472.24

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Solution

The fourth proportional to 992.26, 1,488.66 and 472.24 is: 708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.26 : 1,488.66 = 472.24 : x
  2. Step 2: Convert to fraction form
    992.26/1,488.66 = 472.24/x
  3. Step 3: Cross multiply
    992.26x = 1,488.66 × 472.24
  4. Step 4: Simplify right side
    992.26x = 703,004.80
  5. Step 5: Solve for x
    x = 703,004.80/992.26
  6. Step 6: Final answer
    x = 708.49

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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.