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Finding the Fourth Proportional to 1,755.90, 2,631.60 and 829.38

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Solution

The fourth proportional to 1,755.90, 2,631.60 and 829.38 is: 1,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.90 : 2,631.60 = 829.38 : x
  2. Step 2: Convert to fraction form
    1,755.90/2,631.60 = 829.38/x
  3. Step 3: Cross multiply
    1,755.90x = 2,631.60 × 829.38
  4. Step 4: Simplify right side
    1,755.90x = 2,182,596.41
  5. Step 5: Solve for x
    x = 2,182,596.41/1,755.90
  6. Step 6: Final answer
    x = 1,243.01

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1.5x scale

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.