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Finding the Fourth Proportional to 746.04, 1,029.38 and 451.25

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Solution

The fourth proportional to 746.04, 1,029.38 and 451.25 is: 622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.04 : 1,029.38 = 451.25 : x
  2. Step 2: Convert to fraction form
    746.04/1,029.38 = 451.25/x
  3. Step 3: Cross multiply
    746.04x = 1,029.38 × 451.25
  4. Step 4: Simplify right side
    746.04x = 464,507.73
  5. Step 5: Solve for x
    x = 464,507.73/746.04
  6. Step 6: Final answer
    x = 622.63

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Double scale
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1.5x scale

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.