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Finding the Fourth Proportional to 738.56, 1,108.24 and 523.92

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Solution

The fourth proportional to 738.56, 1,108.24 and 523.92 is: 786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.56 : 1,108.24 = 523.92 : x
  2. Step 2: Convert to fraction form
    738.56/1,108.24 = 523.92/x
  3. Step 3: Cross multiply
    738.56x = 1,108.24 × 523.92
  4. Step 4: Simplify right side
    738.56x = 580,629.10
  5. Step 5: Solve for x
    x = 580,629.10/738.56
  6. Step 6: Final answer
    x = 786.16

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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.