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Finding the Fourth Proportional to 842.13, 1,264.11 and 513.59

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Solution

The fourth proportional to 842.13, 1,264.11 and 513.59 is: 770.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.13 : 1,264.11 = 513.59 : x
  2. Step 2: Convert to fraction form
    842.13/1,264.11 = 513.59/x
  3. Step 3: Cross multiply
    842.13x = 1,264.11 × 513.59
  4. Step 4: Simplify right side
    842.13x = 649,229.81
  5. Step 5: Solve for x
    x = 649,229.81/842.13
  6. Step 6: Final answer
    x = 770.94

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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.