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Finding the Fourth Proportional to 1,182.32, 1,775.29 and 635.57

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Solution

The fourth proportional to 1,182.32, 1,775.29 and 635.57 is: 954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.32 : 1,775.29 = 635.57 : x
  2. Step 2: Convert to fraction form
    1,182.32/1,775.29 = 635.57/x
  3. Step 3: Cross multiply
    1,182.32x = 1,775.29 × 635.57
  4. Step 4: Simplify right side
    1,182.32x = 1,128,321.07
  5. Step 5: Solve for x
    x = 1,128,321.07/1,182.32
  6. Step 6: Final answer
    x = 954.33

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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.