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Finding the Fourth Proportional to 1,092.59, 1,638.96 and 656.81

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Solution

The fourth proportional to 1,092.59, 1,638.96 and 656.81 is: 985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.59 : 1,638.96 = 656.81 : x
  2. Step 2: Convert to fraction form
    1,092.59/1,638.96 = 656.81/x
  3. Step 3: Cross multiply
    1,092.59x = 1,638.96 × 656.81
  4. Step 4: Simplify right side
    1,092.59x = 1,076,477.12
  5. Step 5: Solve for x
    x = 1,076,477.12/1,092.59
  6. Step 6: Final answer
    x = 985.26

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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.