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Finding the Fourth Proportional to 754.21, 1,130.79 and 285.49

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Solution

The fourth proportional to 754.21, 1,130.79 and 285.49 is: 428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.21 : 1,130.79 = 285.49 : x
  2. Step 2: Convert to fraction form
    754.21/1,130.79 = 285.49/x
  3. Step 3: Cross multiply
    754.21x = 1,130.79 × 285.49
  4. Step 4: Simplify right side
    754.21x = 322,829.24
  5. Step 5: Solve for x
    x = 322,829.24/754.21
  6. Step 6: Final answer
    x = 428.04

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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.