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Finding the Fourth Proportional to 764.56, 1,054.96 and 454

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Solution

The fourth proportional to 764.56, 1,054.96 and 454 is: 626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.56 : 1,054.96 = 454 : x
  2. Step 2: Convert to fraction form
    764.56/1,054.96 = 454/x
  3. Step 3: Cross multiply
    764.56x = 1,054.96 × 454
  4. Step 4: Simplify right side
    764.56x = 478,951.84
  5. Step 5: Solve for x
    x = 478,951.84/764.56
  6. Step 6: Final answer
    x = 626.44

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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.