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Finding the Fourth Proportional to 749.51, 1,123.62 and 332.73

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Solution

The fourth proportional to 749.51, 1,123.62 and 332.73 is: 498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.51 : 1,123.62 = 332.73 : x
  2. Step 2: Convert to fraction form
    749.51/1,123.62 = 332.73/x
  3. Step 3: Cross multiply
    749.51x = 1,123.62 × 332.73
  4. Step 4: Simplify right side
    749.51x = 373,864.89
  5. Step 5: Solve for x
    x = 373,864.89/749.51
  6. Step 6: Final answer
    x = 498.81

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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.