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Finding the Fourth Proportional to 431.71, 647.57 and 175.39

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Solution

The fourth proportional to 431.71, 647.57 and 175.39 is: 263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.71 : 647.57 = 175.39 : x
  2. Step 2: Convert to fraction form
    431.71/647.57 = 175.39/x
  3. Step 3: Cross multiply
    431.71x = 647.57 × 175.39
  4. Step 4: Simplify right side
    431.71x = 113,577.30
  5. Step 5: Solve for x
    x = 113,577.30/431.71
  6. Step 6: Final answer
    x = 263.09

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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.