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Finding the Fourth Proportional to 704.69, 1,057.11 and 412.64

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Solution

The fourth proportional to 704.69, 1,057.11 and 412.64 is: 618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.69 : 1,057.11 = 412.64 : x
  2. Step 2: Convert to fraction form
    704.69/1,057.11 = 412.64/x
  3. Step 3: Cross multiply
    704.69x = 1,057.11 × 412.64
  4. Step 4: Simplify right side
    704.69x = 436,200.58
  5. Step 5: Solve for x
    x = 436,200.58/704.69
  6. Step 6: Final answer
    x = 618.99

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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.