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Finding the Fourth Proportional to 846.14, 1,274.56 and 769.59

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Solution

The fourth proportional to 846.14, 1,274.56 and 769.59 is: 1,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.14 : 1,274.56 = 769.59 : x
  2. Step 2: Convert to fraction form
    846.14/1,274.56 = 769.59/x
  3. Step 3: Cross multiply
    846.14x = 1,274.56 × 769.59
  4. Step 4: Simplify right side
    846.14x = 980,886.71
  5. Step 5: Solve for x
    x = 980,886.71/846.14
  6. Step 6: Final answer
    x = 1,159.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.