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Finding the Fourth Proportional to 749.29, 1,123.90 and 262.45

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Solution

The fourth proportional to 749.29, 1,123.90 and 262.45 is: 393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.29 : 1,123.90 = 262.45 : x
  2. Step 2: Convert to fraction form
    749.29/1,123.90 = 262.45/x
  3. Step 3: Cross multiply
    749.29x = 1,123.90 × 262.45
  4. Step 4: Simplify right side
    749.29x = 294,967.56
  5. Step 5: Solve for x
    x = 294,967.56/749.29
  6. Step 6: Final answer
    x = 393.66

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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.