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Finding the Fourth Proportional to 1,172.11, 1,757.93 and 431.47

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Solution

The fourth proportional to 1,172.11, 1,757.93 and 431.47 is: 647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.11 : 1,757.93 = 431.47 : x
  2. Step 2: Convert to fraction form
    1,172.11/1,757.93 = 431.47/x
  3. Step 3: Cross multiply
    1,172.11x = 1,757.93 × 431.47
  4. Step 4: Simplify right side
    1,172.11x = 758,494.06
  5. Step 5: Solve for x
    x = 758,494.06/1,172.11
  6. Step 6: Final answer
    x = 647.12

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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.