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Finding the Fourth Proportional to 748.83, 1,123.20 and 228.82

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Solution

The fourth proportional to 748.83, 1,123.20 and 228.82 is: 343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.83 : 1,123.20 = 228.82 : x
  2. Step 2: Convert to fraction form
    748.83/1,123.20 = 228.82/x
  3. Step 3: Cross multiply
    748.83x = 1,123.20 × 228.82
  4. Step 4: Simplify right side
    748.83x = 257,009.48
  5. Step 5: Solve for x
    x = 257,009.48/748.83
  6. Step 6: Final answer
    x = 343.22

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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.