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Finding the Fourth Proportional to 769.76, 1,062.96 and 700.64

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Solution

The fourth proportional to 769.76, 1,062.96 and 700.64 is: 967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.76 : 1,062.96 = 700.64 : x
  2. Step 2: Convert to fraction form
    769.76/1,062.96 = 700.64/x
  3. Step 3: Cross multiply
    769.76x = 1,062.96 × 700.64
  4. Step 4: Simplify right side
    769.76x = 744,752.29
  5. Step 5: Solve for x
    x = 744,752.29/769.76
  6. Step 6: Final answer
    x = 967.51

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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.