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Finding the Fourth Proportional to 773.14, 1,159.81 and 286.06

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Solution

The fourth proportional to 773.14, 1,159.81 and 286.06 is: 429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.14 : 1,159.81 = 286.06 : x
  2. Step 2: Convert to fraction form
    773.14/1,159.81 = 286.06/x
  3. Step 3: Cross multiply
    773.14x = 1,159.81 × 286.06
  4. Step 4: Simplify right side
    773.14x = 331,775.25
  5. Step 5: Solve for x
    x = 331,775.25/773.14
  6. Step 6: Final answer
    x = 429.13

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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.