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Finding the Fourth Proportional to 789.17, 1,090.16 and 632.84

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Solution

The fourth proportional to 789.17, 1,090.16 and 632.84 is: 874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.17 : 1,090.16 = 632.84 : x
  2. Step 2: Convert to fraction form
    789.17/1,090.16 = 632.84/x
  3. Step 3: Cross multiply
    789.17x = 1,090.16 × 632.84
  4. Step 4: Simplify right side
    789.17x = 689,896.85
  5. Step 5: Solve for x
    x = 689,896.85/789.17
  6. Step 6: Final answer
    x = 874.21

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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.