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Finding the Fourth Proportional to 705.11, 1,057.37 and 242.75

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Solution

The fourth proportional to 705.11, 1,057.37 and 242.75 is: 364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.11 : 1,057.37 = 242.75 : x
  2. Step 2: Convert to fraction form
    705.11/1,057.37 = 242.75/x
  3. Step 3: Cross multiply
    705.11x = 1,057.37 × 242.75
  4. Step 4: Simplify right side
    705.11x = 256,678.00
  5. Step 5: Solve for x
    x = 256,678.00/705.11
  6. Step 6: Final answer
    x = 364.03

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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.