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Finding the Fourth Proportional to 764.88, 1,056.04 and 454.48

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Solution

The fourth proportional to 764.88, 1,056.04 and 454.48 is: 627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.88 : 1,056.04 = 454.48 : x
  2. Step 2: Convert to fraction form
    764.88/1,056.04 = 454.48/x
  3. Step 3: Cross multiply
    764.88x = 1,056.04 × 454.48
  4. Step 4: Simplify right side
    764.88x = 479,949.06
  5. Step 5: Solve for x
    x = 479,949.06/764.88
  6. Step 6: Final answer
    x = 627.48

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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.