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Finding the Fourth Proportional to 992.91, 1,490.34 and 499.65

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Solution

The fourth proportional to 992.91, 1,490.34 and 499.65 is: 749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.91 : 1,490.34 = 499.65 : x
  2. Step 2: Convert to fraction form
    992.91/1,490.34 = 499.65/x
  3. Step 3: Cross multiply
    992.91x = 1,490.34 × 499.65
  4. Step 4: Simplify right side
    992.91x = 744,648.38
  5. Step 5: Solve for x
    x = 744,648.38/992.91
  6. Step 6: Final answer
    x = 749.97

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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.