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Finding the Fourth Proportional to 1,492.67, 2,059.92 and 820.50

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Solution

The fourth proportional to 1,492.67, 2,059.92 and 820.50 is: 1,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.67 : 2,059.92 = 820.50 : x
  2. Step 2: Convert to fraction form
    1,492.67/2,059.92 = 820.50/x
  3. Step 3: Cross multiply
    1,492.67x = 2,059.92 × 820.50
  4. Step 4: Simplify right side
    1,492.67x = 1,690,164.36
  5. Step 5: Solve for x
    x = 1,690,164.36/1,492.67
  6. Step 6: Final answer
    x = 1,132.31

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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.