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Finding the Fourth Proportional to 1,374.60, 2,059.20 and 825.15

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Solution

The fourth proportional to 1,374.60, 2,059.20 and 825.15 is: 1,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.60 : 2,059.20 = 825.15 : x
  2. Step 2: Convert to fraction form
    1,374.60/2,059.20 = 825.15/x
  3. Step 3: Cross multiply
    1,374.60x = 2,059.20 × 825.15
  4. Step 4: Simplify right side
    1,374.60x = 1,699,148.88
  5. Step 5: Solve for x
    x = 1,699,148.88/1,374.60
  6. Step 6: Final answer
    x = 1,236.10

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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.