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Finding the Fourth Proportional to 764.92, 1,055.26 and 454.28

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Solution

The fourth proportional to 764.92, 1,055.26 and 454.28 is: 626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.92 : 1,055.26 = 454.28 : x
  2. Step 2: Convert to fraction form
    764.92/1,055.26 = 454.28/x
  3. Step 3: Cross multiply
    764.92x = 1,055.26 × 454.28
  4. Step 4: Simplify right side
    764.92x = 479,383.51
  5. Step 5: Solve for x
    x = 479,383.51/764.92
  6. Step 6: Final answer
    x = 626.71

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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.