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Finding the Fourth Proportional to 1,194.64, 1,649.28 and 932.08

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Solution

The fourth proportional to 1,194.64, 1,649.28 and 932.08 is: 1,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.64 : 1,649.28 = 932.08 : x
  2. Step 2: Convert to fraction form
    1,194.64/1,649.28 = 932.08/x
  3. Step 3: Cross multiply
    1,194.64x = 1,649.28 × 932.08
  4. Step 4: Simplify right side
    1,194.64x = 1,537,260.90
  5. Step 5: Solve for x
    x = 1,537,260.90/1,194.64
  6. Step 6: Final answer
    x = 1,286.80

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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.