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Finding the Fourth Proportional to 1,284.38, 1,770.68 and 812.04

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Solution

The fourth proportional to 1,284.38, 1,770.68 and 812.04 is: 1,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.38 : 1,770.68 = 812.04 : x
  2. Step 2: Convert to fraction form
    1,284.38/1,770.68 = 812.04/x
  3. Step 3: Cross multiply
    1,284.38x = 1,770.68 × 812.04
  4. Step 4: Simplify right side
    1,284.38x = 1,437,856.73
  5. Step 5: Solve for x
    x = 1,437,856.73/1,284.38
  6. Step 6: Final answer
    x = 1,119.50

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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.