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Finding the Fourth Proportional to 1,291.84, 1,782.56 and 767.76

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Solution

The fourth proportional to 1,291.84, 1,782.56 and 767.76 is: 1,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.84 : 1,782.56 = 767.76 : x
  2. Step 2: Convert to fraction form
    1,291.84/1,782.56 = 767.76/x
  3. Step 3: Cross multiply
    1,291.84x = 1,782.56 × 767.76
  4. Step 4: Simplify right side
    1,291.84x = 1,368,578.27
  5. Step 5: Solve for x
    x = 1,368,578.27/1,291.84
  6. Step 6: Final answer
    x = 1,059.40

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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.