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Finding the Fourth Proportional to 789, 1,090.14 and 553.83

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Solution

The fourth proportional to 789, 1,090.14 and 553.83 is: 765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    789 : 1,090.14 = 553.83 : x
  2. Step 2: Convert to fraction form
    789/1,090.14 = 553.83/x
  3. Step 3: Cross multiply
    789x = 1,090.14 × 553.83
  4. Step 4: Simplify right side
    789x = 603,752.24
  5. Step 5: Solve for x
    x = 603,752.24/789
  6. Step 6: Final answer
    x = 765.21

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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.