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Finding the Fourth Proportional to 752.88, 1,037.24 and 642

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Solution

The fourth proportional to 752.88, 1,037.24 and 642 is: 884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.88 : 1,037.24 = 642 : x
  2. Step 2: Convert to fraction form
    752.88/1,037.24 = 642/x
  3. Step 3: Cross multiply
    752.88x = 1,037.24 × 642
  4. Step 4: Simplify right side
    752.88x = 665,908.08
  5. Step 5: Solve for x
    x = 665,908.08/752.88
  6. Step 6: Final answer
    x = 884.48

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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.