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Finding the Fourth Proportional to 1,492.67, 2,059.94 and 829.58

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Solution

The fourth proportional to 1,492.67, 2,059.94 and 829.58 is: 1,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.67 : 2,059.94 = 829.58 : x
  2. Step 2: Convert to fraction form
    1,492.67/2,059.94 = 829.58/x
  3. Step 3: Cross multiply
    1,492.67x = 2,059.94 × 829.58
  4. Step 4: Simplify right side
    1,492.67x = 1,708,885.03
  5. Step 5: Solve for x
    x = 1,708,885.03/1,492.67
  6. Step 6: Final answer
    x = 1,144.85

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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.