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Finding the Fourth Proportional to 1,310.65, 1,966.48 and 791.03

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Solution

The fourth proportional to 1,310.65, 1,966.48 and 791.03 is: 1,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.65 : 1,966.48 = 791.03 : x
  2. Step 2: Convert to fraction form
    1,310.65/1,966.48 = 791.03/x
  3. Step 3: Cross multiply
    1,310.65x = 1,966.48 × 791.03
  4. Step 4: Simplify right side
    1,310.65x = 1,555,547.61
  5. Step 5: Solve for x
    x = 1,555,547.61/1,310.65
  6. Step 6: Final answer
    x = 1,186.85

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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.