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Finding the Fourth Proportional to 746.32, 1,029.90 and 648.04

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Solution

The fourth proportional to 746.32, 1,029.90 and 648.04 is: 894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.32 : 1,029.90 = 648.04 : x
  2. Step 2: Convert to fraction form
    746.32/1,029.90 = 648.04/x
  3. Step 3: Cross multiply
    746.32x = 1,029.90 × 648.04
  4. Step 4: Simplify right side
    746.32x = 667,416.40
  5. Step 5: Solve for x
    x = 667,416.40/746.32
  6. Step 6: Final answer
    x = 894.28

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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.