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Finding the Fourth Proportional to 705.46, 1,057.81 and 320.50

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Solution

The fourth proportional to 705.46, 1,057.81 and 320.50 is: 480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.46 : 1,057.81 = 320.50 : x
  2. Step 2: Convert to fraction form
    705.46/1,057.81 = 320.50/x
  3. Step 3: Cross multiply
    705.46x = 1,057.81 × 320.50
  4. Step 4: Simplify right side
    705.46x = 339,028.11
  5. Step 5: Solve for x
    x = 339,028.11/705.46
  6. Step 6: Final answer
    x = 480.58

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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.