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Finding the Fourth Proportional to 747.33, 1,121.43 and 419.01

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Solution

The fourth proportional to 747.33, 1,121.43 and 419.01 is: 628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.33 : 1,121.43 = 419.01 : x
  2. Step 2: Convert to fraction form
    747.33/1,121.43 = 419.01/x
  3. Step 3: Cross multiply
    747.33x = 1,121.43 × 419.01
  4. Step 4: Simplify right side
    747.33x = 469,890.38
  5. Step 5: Solve for x
    x = 469,890.38/747.33
  6. Step 6: Final answer
    x = 628.76

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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.