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Finding the Fourth Proportional to 705.16, 1,057.76 and 320.68

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Solution

The fourth proportional to 705.16, 1,057.76 and 320.68 is: 481.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.16 : 1,057.76 = 320.68 : x
  2. Step 2: Convert to fraction form
    705.16/1,057.76 = 320.68/x
  3. Step 3: Cross multiply
    705.16x = 1,057.76 × 320.68
  4. Step 4: Simplify right side
    705.16x = 339,202.48
  5. Step 5: Solve for x
    x = 339,202.48/705.16
  6. Step 6: Final answer
    x = 481.03

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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.