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Finding the Fourth Proportional to 1,492.30, 2,059.43 and 829.15

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Solution

The fourth proportional to 1,492.30, 2,059.43 and 829.15 is: 1,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.30 : 2,059.43 = 829.15 : x
  2. Step 2: Convert to fraction form
    1,492.30/2,059.43 = 829.15/x
  3. Step 3: Cross multiply
    1,492.30x = 2,059.43 × 829.15
  4. Step 4: Simplify right side
    1,492.30x = 1,707,576.38
  5. Step 5: Solve for x
    x = 1,707,576.38/1,492.30
  6. Step 6: Final answer
    x = 1,144.26

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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.