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Finding the Fourth Proportional to 1,050.78, 1,449.36 and 829.38

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Solution

The fourth proportional to 1,050.78, 1,449.36 and 829.38 is: 1,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.78 : 1,449.36 = 829.38 : x
  2. Step 2: Convert to fraction form
    1,050.78/1,449.36 = 829.38/x
  3. Step 3: Cross multiply
    1,050.78x = 1,449.36 × 829.38
  4. Step 4: Simplify right side
    1,050.78x = 1,202,070.20
  5. Step 5: Solve for x
    x = 1,202,070.20/1,050.78
  6. Step 6: Final answer
    x = 1,143.98

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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.