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Finding the Fourth Proportional to 1,066.23, 1,470.42 and 829.85

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Solution

The fourth proportional to 1,066.23, 1,470.42 and 829.85 is: 1,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.23 : 1,470.42 = 829.85 : x
  2. Step 2: Convert to fraction form
    1,066.23/1,470.42 = 829.85/x
  3. Step 3: Cross multiply
    1,066.23x = 1,470.42 × 829.85
  4. Step 4: Simplify right side
    1,066.23x = 1,220,220.68
  5. Step 5: Solve for x
    x = 1,220,220.68/1,066.23
  6. Step 6: Final answer
    x = 1,144.43

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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.