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Finding the Fourth Proportional to 746.13, 1,118.39 and 420.82

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Solution

The fourth proportional to 746.13, 1,118.39 and 420.82 is: 630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.13 : 1,118.39 = 420.82 : x
  2. Step 2: Convert to fraction form
    746.13/1,118.39 = 420.82/x
  3. Step 3: Cross multiply
    746.13x = 1,118.39 × 420.82
  4. Step 4: Simplify right side
    746.13x = 470,640.88
  5. Step 5: Solve for x
    x = 470,640.88/746.13
  6. Step 6: Final answer
    x = 630.78

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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.