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Finding the Fourth Proportional to 1,682.55, 2,321.55 and 1,010.58

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Solution

The fourth proportional to 1,682.55, 2,321.55 and 1,010.58 is: 1,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.55 : 2,321.55 = 1,010.58 : x
  2. Step 2: Convert to fraction form
    1,682.55/2,321.55 = 1,010.58/x
  3. Step 3: Cross multiply
    1,682.55x = 2,321.55 × 1,010.58
  4. Step 4: Simplify right side
    1,682.55x = 2,346,112.00
  5. Step 5: Solve for x
    x = 2,346,112.00/1,682.55
  6. Step 6: Final answer
    x = 1,394.38

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1.5x scale

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.