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Finding the Fourth Proportional to 818.60, 1,224.52 and 746.51

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Solution

The fourth proportional to 818.60, 1,224.52 and 746.51 is: 1,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.60 : 1,224.52 = 746.51 : x
  2. Step 2: Convert to fraction form
    818.60/1,224.52 = 746.51/x
  3. Step 3: Cross multiply
    818.60x = 1,224.52 × 746.51
  4. Step 4: Simplify right side
    818.60x = 914,116.43
  5. Step 5: Solve for x
    x = 914,116.43/818.60
  6. Step 6: Final answer
    x = 1,116.68

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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.