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Finding the Fourth Proportional to 746.34, 1,119.41 and 284.24

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Solution

The fourth proportional to 746.34, 1,119.41 and 284.24 is: 426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.34 : 1,119.41 = 284.24 : x
  2. Step 2: Convert to fraction form
    746.34/1,119.41 = 284.24/x
  3. Step 3: Cross multiply
    746.34x = 1,119.41 × 284.24
  4. Step 4: Simplify right side
    746.34x = 318,175.15
  5. Step 5: Solve for x
    x = 318,175.15/746.34
  6. Step 6: Final answer
    x = 426.31

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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.