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Finding the Fourth Proportional to 704.07, 1,057.17 and 431.31

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Solution

The fourth proportional to 704.07, 1,057.17 and 431.31 is: 647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.07 : 1,057.17 = 431.31 : x
  2. Step 2: Convert to fraction form
    704.07/1,057.17 = 431.31/x
  3. Step 3: Cross multiply
    704.07x = 1,057.17 × 431.31
  4. Step 4: Simplify right side
    704.07x = 455,967.99
  5. Step 5: Solve for x
    x = 455,967.99/704.07
  6. Step 6: Final answer
    x = 647.62

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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.