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Finding the Fourth Proportional to 744.08, 1,025.42 and 533.88

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Solution

The fourth proportional to 744.08, 1,025.42 and 533.88 is: 735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.08 : 1,025.42 = 533.88 : x
  2. Step 2: Convert to fraction form
    744.08/1,025.42 = 533.88/x
  3. Step 3: Cross multiply
    744.08x = 1,025.42 × 533.88
  4. Step 4: Simplify right side
    744.08x = 547,448.56
  5. Step 5: Solve for x
    x = 547,448.56/744.08
  6. Step 6: Final answer
    x = 735.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.