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Finding the Fourth Proportional to 746.62, 1,119.95 and 284.24

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Solution

The fourth proportional to 746.62, 1,119.95 and 284.24 is: 426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.62 : 1,119.95 = 284.24 : x
  2. Step 2: Convert to fraction form
    746.62/1,119.95 = 284.24/x
  3. Step 3: Cross multiply
    746.62x = 1,119.95 × 284.24
  4. Step 4: Simplify right side
    746.62x = 318,334.59
  5. Step 5: Solve for x
    x = 318,334.59/746.62
  6. Step 6: Final answer
    x = 426.37

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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.