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Finding the Fourth Proportional to 1,296.18, 1,788.92 and 765.16

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Solution

The fourth proportional to 1,296.18, 1,788.92 and 765.16 is: 1,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.18 : 1,788.92 = 765.16 : x
  2. Step 2: Convert to fraction form
    1,296.18/1,788.92 = 765.16/x
  3. Step 3: Cross multiply
    1,296.18x = 1,788.92 × 765.16
  4. Step 4: Simplify right side
    1,296.18x = 1,368,810.03
  5. Step 5: Solve for x
    x = 1,368,810.03/1,296.18
  6. Step 6: Final answer
    x = 1,056.03

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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.