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Finding the Fourth Proportional to 764.39, 1,054.76 and 445.28

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Solution

The fourth proportional to 764.39, 1,054.76 and 445.28 is: 614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.39 : 1,054.76 = 445.28 : x
  2. Step 2: Convert to fraction form
    764.39/1,054.76 = 445.28/x
  3. Step 3: Cross multiply
    764.39x = 1,054.76 × 445.28
  4. Step 4: Simplify right side
    764.39x = 469,656.03
  5. Step 5: Solve for x
    x = 469,656.03/764.39
  6. Step 6: Final answer
    x = 614.42

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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.