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Finding the Fourth Proportional to 775.84, 1,168 and 670

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Solution

The fourth proportional to 775.84, 1,168 and 670 is: 1,008.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.84 : 1,168 = 670 : x
  2. Step 2: Convert to fraction form
    775.84/1,168 = 670/x
  3. Step 3: Cross multiply
    775.84x = 1,168 × 670
  4. Step 4: Simplify right side
    775.84x = 782,560
  5. Step 5: Solve for x
    x = 782,560/775.84
  6. Step 6: Final answer
    x = 1,008.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.