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Finding the Fourth Proportional to 747.96, 1,122.40 and 285.78

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Solution

The fourth proportional to 747.96, 1,122.40 and 285.78 is: 428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.96 : 1,122.40 = 285.78 : x
  2. Step 2: Convert to fraction form
    747.96/1,122.40 = 285.78/x
  3. Step 3: Cross multiply
    747.96x = 1,122.40 × 285.78
  4. Step 4: Simplify right side
    747.96x = 320,754.75
  5. Step 5: Solve for x
    x = 320,754.75/747.96
  6. Step 6: Final answer
    x = 428.84

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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.