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Finding the Fourth Proportional to 992.39, 1,489.52 and 505.79

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Solution

The fourth proportional to 992.39, 1,489.52 and 505.79 is: 759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.39 : 1,489.52 = 505.79 : x
  2. Step 2: Convert to fraction form
    992.39/1,489.52 = 505.79/x
  3. Step 3: Cross multiply
    992.39x = 1,489.52 × 505.79
  4. Step 4: Simplify right side
    992.39x = 753,381.79
  5. Step 5: Solve for x
    x = 753,381.79/992.39
  6. Step 6: Final answer
    x = 759.16

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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.