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Finding the Fourth Proportional to 746.56, 1,120.29 and 284.40

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Solution

The fourth proportional to 746.56, 1,120.29 and 284.40 is: 426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.56 : 1,120.29 = 284.40 : x
  2. Step 2: Convert to fraction form
    746.56/1,120.29 = 284.40/x
  3. Step 3: Cross multiply
    746.56x = 1,120.29 × 284.40
  4. Step 4: Simplify right side
    746.56x = 318,610.48
  5. Step 5: Solve for x
    x = 318,610.48/746.56
  6. Step 6: Final answer
    x = 426.77

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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.