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Finding the Fourth Proportional to 774.51, 1,160.75 and 568.12

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Solution

The fourth proportional to 774.51, 1,160.75 and 568.12 is: 851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.51 : 1,160.75 = 568.12 : x
  2. Step 2: Convert to fraction form
    774.51/1,160.75 = 568.12/x
  3. Step 3: Cross multiply
    774.51x = 1,160.75 × 568.12
  4. Step 4: Simplify right side
    774.51x = 659,438.58
  5. Step 5: Solve for x
    x = 659,438.58/774.51
  6. Step 6: Final answer
    x = 851.42

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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.