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Finding the Fourth Proportional to 1,076.96, 1,487.04 and 684.68

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Solution

The fourth proportional to 1,076.96, 1,487.04 and 684.68 is: 945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.96 : 1,487.04 = 684.68 : x
  2. Step 2: Convert to fraction form
    1,076.96/1,487.04 = 684.68/x
  3. Step 3: Cross multiply
    1,076.96x = 1,487.04 × 684.68
  4. Step 4: Simplify right side
    1,076.96x = 1,018,146.55
  5. Step 5: Solve for x
    x = 1,018,146.55/1,076.96
  6. Step 6: Final answer
    x = 945.39

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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.