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Finding the Fourth Proportional to 789.18, 1,089.75 and 494.95

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Solution

The fourth proportional to 789.18, 1,089.75 and 494.95 is: 683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.18 : 1,089.75 = 494.95 : x
  2. Step 2: Convert to fraction form
    789.18/1,089.75 = 494.95/x
  3. Step 3: Cross multiply
    789.18x = 1,089.75 × 494.95
  4. Step 4: Simplify right side
    789.18x = 539,371.76
  5. Step 5: Solve for x
    x = 539,371.76/789.18
  6. Step 6: Final answer
    x = 683.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.