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Finding the Fourth Proportional to 1,175.12, 1,620.93 and 756.02

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Solution

The fourth proportional to 1,175.12, 1,620.93 and 756.02 is: 1,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.12 : 1,620.93 = 756.02 : x
  2. Step 2: Convert to fraction form
    1,175.12/1,620.93 = 756.02/x
  3. Step 3: Cross multiply
    1,175.12x = 1,620.93 × 756.02
  4. Step 4: Simplify right side
    1,175.12x = 1,225,447.39
  5. Step 5: Solve for x
    x = 1,225,447.39/1,175.12
  6. Step 6: Final answer
    x = 1,042.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.