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Finding the Fourth Proportional to 1,175.10, 1,765.35 and 829.23

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Solution

The fourth proportional to 1,175.10, 1,765.35 and 829.23 is: 1,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.10 : 1,765.35 = 829.23 : x
  2. Step 2: Convert to fraction form
    1,175.10/1,765.35 = 829.23/x
  3. Step 3: Cross multiply
    1,175.10x = 1,765.35 × 829.23
  4. Step 4: Simplify right side
    1,175.10x = 1,463,881.18
  5. Step 5: Solve for x
    x = 1,463,881.18/1,175.10
  6. Step 6: Final answer
    x = 1,245.75

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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.