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Finding the Fourth Proportional to 1,092.42, 1,636.74 and 783.68

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Solution

The fourth proportional to 1,092.42, 1,636.74 and 783.68 is: 1,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.42 : 1,636.74 = 783.68 : x
  2. Step 2: Convert to fraction form
    1,092.42/1,636.74 = 783.68/x
  3. Step 3: Cross multiply
    1,092.42x = 1,636.74 × 783.68
  4. Step 4: Simplify right side
    1,092.42x = 1,282,672.22
  5. Step 5: Solve for x
    x = 1,282,672.22/1,092.42
  6. Step 6: Final answer
    x = 1,174.16

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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.