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Finding the Fourth Proportional to 1,662.07, 2,493.45 and 829.58

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Solution

The fourth proportional to 1,662.07, 2,493.45 and 829.58 is: 1,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.07 : 2,493.45 = 829.58 : x
  2. Step 2: Convert to fraction form
    1,662.07/2,493.45 = 829.58/x
  3. Step 3: Cross multiply
    1,662.07x = 2,493.45 × 829.58
  4. Step 4: Simplify right side
    1,662.07x = 2,068,506.12
  5. Step 5: Solve for x
    x = 2,068,506.12/1,662.07
  6. Step 6: Final answer
    x = 1,244.54

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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.