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Finding the Fourth Proportional to 705.11, 1,057.46 and 431.33

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Solution

The fourth proportional to 705.11, 1,057.46 and 431.33 is: 646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.11 : 1,057.46 = 431.33 : x
  2. Step 2: Convert to fraction form
    705.11/1,057.46 = 431.33/x
  3. Step 3: Cross multiply
    705.11x = 1,057.46 × 431.33
  4. Step 4: Simplify right side
    705.11x = 456,106.78
  5. Step 5: Solve for x
    x = 456,106.78/705.11
  6. Step 6: Final answer
    x = 646.86

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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.