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Finding the Fourth Proportional to 775.84, 1,164.08 and 320.16

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Solution

The fourth proportional to 775.84, 1,164.08 and 320.16 is: 480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.84 : 1,164.08 = 320.16 : x
  2. Step 2: Convert to fraction form
    775.84/1,164.08 = 320.16/x
  3. Step 3: Cross multiply
    775.84x = 1,164.08 × 320.16
  4. Step 4: Simplify right side
    775.84x = 372,691.85
  5. Step 5: Solve for x
    x = 372,691.85/775.84
  6. Step 6: Final answer
    x = 480.37

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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.