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Finding the Fourth Proportional to 746.25, 1,119.24 and 284.07

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Solution

The fourth proportional to 746.25, 1,119.24 and 284.07 is: 426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.25 : 1,119.24 = 284.07 : x
  2. Step 2: Convert to fraction form
    746.25/1,119.24 = 284.07/x
  3. Step 3: Cross multiply
    746.25x = 1,119.24 × 284.07
  4. Step 4: Simplify right side
    746.25x = 317,942.51
  5. Step 5: Solve for x
    x = 317,942.51/746.25
  6. Step 6: Final answer
    x = 426.05

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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.