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Finding the Fourth Proportional to 992.57, 1,489.73 and 774.59

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Solution

The fourth proportional to 992.57, 1,489.73 and 774.59 is: 1,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.57 : 1,489.73 = 774.59 : x
  2. Step 2: Convert to fraction form
    992.57/1,489.73 = 774.59/x
  3. Step 3: Cross multiply
    992.57x = 1,489.73 × 774.59
  4. Step 4: Simplify right side
    992.57x = 1,153,929.96
  5. Step 5: Solve for x
    x = 1,153,929.96/992.57
  6. Step 6: Final answer
    x = 1,162.57

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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.