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Finding the Fourth Proportional to 1,310.82, 1,968.33 and 763.40

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Solution

The fourth proportional to 1,310.82, 1,968.33 and 763.40 is: 1,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.82 : 1,968.33 = 763.40 : x
  2. Step 2: Convert to fraction form
    1,310.82/1,968.33 = 763.40/x
  3. Step 3: Cross multiply
    1,310.82x = 1,968.33 × 763.40
  4. Step 4: Simplify right side
    1,310.82x = 1,502,613.28
  5. Step 5: Solve for x
    x = 1,502,613.28/1,310.82
  6. Step 6: Final answer
    x = 1,146.32

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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.