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Finding the Fourth Proportional to 789.87, 1,089.18 and 553.75

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Solution

The fourth proportional to 789.87, 1,089.18 and 553.75 is: 763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.87 : 1,089.18 = 553.75 : x
  2. Step 2: Convert to fraction form
    789.87/1,089.18 = 553.75/x
  3. Step 3: Cross multiply
    789.87x = 1,089.18 × 553.75
  4. Step 4: Simplify right side
    789.87x = 603,130.70
  5. Step 5: Solve for x
    x = 603,130.70/789.87
  6. Step 6: Final answer
    x = 763.58

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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.