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Finding the Fourth Proportional to 775.89, 1,164.14 and 342.95

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Solution

The fourth proportional to 775.89, 1,164.14 and 342.95 is: 514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.89 : 1,164.14 = 342.95 : x
  2. Step 2: Convert to fraction form
    775.89/1,164.14 = 342.95/x
  3. Step 3: Cross multiply
    775.89x = 1,164.14 × 342.95
  4. Step 4: Simplify right side
    775.89x = 399,234.28
  5. Step 5: Solve for x
    x = 399,234.28/775.89
  6. Step 6: Final answer
    x = 514.55

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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.