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Finding the Fourth Proportional to 842.20, 1,263.43 and 286.95

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Solution

The fourth proportional to 842.20, 1,263.43 and 286.95 is: 430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.20 : 1,263.43 = 286.95 : x
  2. Step 2: Convert to fraction form
    842.20/1,263.43 = 286.95/x
  3. Step 3: Cross multiply
    842.20x = 1,263.43 × 286.95
  4. Step 4: Simplify right side
    842.20x = 362,544.40
  5. Step 5: Solve for x
    x = 362,544.40/842.20
  6. Step 6: Final answer
    x = 430.48

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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.