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Finding the Fourth Proportional to 774.18, 1,160.52 and 568.46

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Solution

The fourth proportional to 774.18, 1,160.52 and 568.46 is: 852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.18 : 1,160.52 = 568.46 : x
  2. Step 2: Convert to fraction form
    774.18/1,160.52 = 568.46/x
  3. Step 3: Cross multiply
    774.18x = 1,160.52 × 568.46
  4. Step 4: Simplify right side
    774.18x = 659,709.20
  5. Step 5: Solve for x
    x = 659,709.20/774.18
  6. Step 6: Final answer
    x = 852.14

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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.