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Finding the Fourth Proportional to 1,182.64, 1,774.01 and 767.11

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Solution

The fourth proportional to 1,182.64, 1,774.01 and 767.11 is: 1,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.64 : 1,774.01 = 767.11 : x
  2. Step 2: Convert to fraction form
    1,182.64/1,774.01 = 767.11/x
  3. Step 3: Cross multiply
    1,182.64x = 1,774.01 × 767.11
  4. Step 4: Simplify right side
    1,182.64x = 1,360,860.81
  5. Step 5: Solve for x
    x = 1,360,860.81/1,182.64
  6. Step 6: Final answer
    x = 1,150.70

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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.