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Finding the Fourth Proportional to 842.13, 1,263.61 and 380.23

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Solution

The fourth proportional to 842.13, 1,263.61 and 380.23 is: 570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.13 : 1,263.61 = 380.23 : x
  2. Step 2: Convert to fraction form
    842.13/1,263.61 = 380.23/x
  3. Step 3: Cross multiply
    842.13x = 1,263.61 × 380.23
  4. Step 4: Simplify right side
    842.13x = 480,462.43
  5. Step 5: Solve for x
    x = 480,462.43/842.13
  6. Step 6: Final answer
    x = 570.53

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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.