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Finding the Fourth Proportional to 992.09, 1,488.12 and 298.77

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Solution

The fourth proportional to 992.09, 1,488.12 and 298.77 is: 448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.09 : 1,488.12 = 298.77 : x
  2. Step 2: Convert to fraction form
    992.09/1,488.12 = 298.77/x
  3. Step 3: Cross multiply
    992.09x = 1,488.12 × 298.77
  4. Step 4: Simplify right side
    992.09x = 444,605.61
  5. Step 5: Solve for x
    x = 444,605.61/992.09
  6. Step 6: Final answer
    x = 448.15

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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.