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Finding the Fourth Proportional to 1,109.88, 1,529.93 and 829.69

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Solution

The fourth proportional to 1,109.88, 1,529.93 and 829.69 is: 1,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.88 : 1,529.93 = 829.69 : x
  2. Step 2: Convert to fraction form
    1,109.88/1,529.93 = 829.69/x
  3. Step 3: Cross multiply
    1,109.88x = 1,529.93 × 829.69
  4. Step 4: Simplify right side
    1,109.88x = 1,269,365.87
  5. Step 5: Solve for x
    x = 1,269,365.87/1,109.88
  6. Step 6: Final answer
    x = 1,143.70

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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.