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Finding the Fourth Proportional to 704.45, 1,057.74 and 431.69

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Solution

The fourth proportional to 704.45, 1,057.74 and 431.69 is: 648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.45 : 1,057.74 = 431.69 : x
  2. Step 2: Convert to fraction form
    704.45/1,057.74 = 431.69/x
  3. Step 3: Cross multiply
    704.45x = 1,057.74 × 431.69
  4. Step 4: Simplify right side
    704.45x = 456,610.49
  5. Step 5: Solve for x
    x = 456,610.49/704.45
  6. Step 6: Final answer
    x = 648.18

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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.