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Finding the Fourth Proportional to 1,272.16, 1,754.90 and 829.30

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Solution

The fourth proportional to 1,272.16, 1,754.90 and 829.30 is: 1,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.16 : 1,754.90 = 829.30 : x
  2. Step 2: Convert to fraction form
    1,272.16/1,754.90 = 829.30/x
  3. Step 3: Cross multiply
    1,272.16x = 1,754.90 × 829.30
  4. Step 4: Simplify right side
    1,272.16x = 1,455,325.65
  5. Step 5: Solve for x
    x = 1,455,325.65/1,272.16
  6. Step 6: Final answer
    x = 1,143.98

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