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Finding the Fourth Proportional to 838.50, 1,256.67 and 620.34

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Solution

The fourth proportional to 838.50, 1,256.67 and 620.34 is: 929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.50 : 1,256.67 = 620.34 : x
  2. Step 2: Convert to fraction form
    838.50/1,256.67 = 620.34/x
  3. Step 3: Cross multiply
    838.50x = 1,256.67 × 620.34
  4. Step 4: Simplify right side
    838.50x = 779,562.67
  5. Step 5: Solve for x
    x = 779,562.67/838.50
  6. Step 6: Final answer
    x = 929.71

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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.