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Finding the Fourth Proportional to 705.27, 1,057.08 and 431.49

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Solution

The fourth proportional to 705.27, 1,057.08 and 431.49 is: 646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.27 : 1,057.08 = 431.49 : x
  2. Step 2: Convert to fraction form
    705.27/1,057.08 = 431.49/x
  3. Step 3: Cross multiply
    705.27x = 1,057.08 × 431.49
  4. Step 4: Simplify right side
    705.27x = 456,119.45
  5. Step 5: Solve for x
    x = 456,119.45/705.27
  6. Step 6: Final answer
    x = 646.73

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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.