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Finding the Fourth Proportional to 1,074.80, 1,612.20 and 1,023.50

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Solution

The fourth proportional to 1,074.80, 1,612.20 and 1,023.50 is: 1,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.80 : 1,612.20 = 1,023.50 : x
  2. Step 2: Convert to fraction form
    1,074.80/1,612.20 = 1,023.50/x
  3. Step 3: Cross multiply
    1,074.80x = 1,612.20 × 1,023.50
  4. Step 4: Simplify right side
    1,074.80x = 1,650,086.70
  5. Step 5: Solve for x
    x = 1,650,086.70/1,074.80
  6. Step 6: Final answer
    x = 1,535.25

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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.