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Finding the Fourth Proportional to 1,172.56, 1,757.50 and 555.39

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Solution

The fourth proportional to 1,172.56, 1,757.50 and 555.39 is: 832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.56 : 1,757.50 = 555.39 : x
  2. Step 2: Convert to fraction form
    1,172.56/1,757.50 = 555.39/x
  3. Step 3: Cross multiply
    1,172.56x = 1,757.50 × 555.39
  4. Step 4: Simplify right side
    1,172.56x = 976,096.54
  5. Step 5: Solve for x
    x = 976,096.54/1,172.56
  6. Step 6: Final answer
    x = 832.45

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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.