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Finding the Fourth Proportional to 1,089.59, 1,634.13 and 431.26

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Solution

The fourth proportional to 1,089.59, 1,634.13 and 431.26 is: 646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.59 : 1,634.13 = 431.26 : x
  2. Step 2: Convert to fraction form
    1,089.59/1,634.13 = 431.26/x
  3. Step 3: Cross multiply
    1,089.59x = 1,634.13 × 431.26
  4. Step 4: Simplify right side
    1,089.59x = 704,730.82
  5. Step 5: Solve for x
    x = 704,730.82/1,089.59
  6. Step 6: Final answer
    x = 646.79

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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.