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Finding the Fourth Proportional to 1,076.18, 1,613.93 and 685.63

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Solution

The fourth proportional to 1,076.18, 1,613.93 and 685.63 is: 1,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.18 : 1,613.93 = 685.63 : x
  2. Step 2: Convert to fraction form
    1,076.18/1,613.93 = 685.63/x
  3. Step 3: Cross multiply
    1,076.18x = 1,613.93 × 685.63
  4. Step 4: Simplify right side
    1,076.18x = 1,106,550.76
  5. Step 5: Solve for x
    x = 1,106,550.76/1,076.18
  6. Step 6: Final answer
    x = 1,028.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.