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Finding the Fourth Proportional to 992.34, 1,488.73 and 298.95

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Solution

The fourth proportional to 992.34, 1,488.73 and 298.95 is: 448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.34 : 1,488.73 = 298.95 : x
  2. Step 2: Convert to fraction form
    992.34/1,488.73 = 298.95/x
  3. Step 3: Cross multiply
    992.34x = 1,488.73 × 298.95
  4. Step 4: Simplify right side
    992.34x = 445,055.83
  5. Step 5: Solve for x
    x = 445,055.83/992.34
  6. Step 6: Final answer
    x = 448.49

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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.