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Finding the Fourth Proportional to 774.56, 1,162.54 and 513.84

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Solution

The fourth proportional to 774.56, 1,162.54 and 513.84 is: 771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.56 : 1,162.54 = 513.84 : x
  2. Step 2: Convert to fraction form
    774.56/1,162.54 = 513.84/x
  3. Step 3: Cross multiply
    774.56x = 1,162.54 × 513.84
  4. Step 4: Simplify right side
    774.56x = 597,359.55
  5. Step 5: Solve for x
    x = 597,359.55/774.56
  6. Step 6: Final answer
    x = 771.22

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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.