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Finding the Fourth Proportional to 764.96, 1,055.58 and 450.23

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Solution

The fourth proportional to 764.96, 1,055.58 and 450.23 is: 621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.96 : 1,055.58 = 450.23 : x
  2. Step 2: Convert to fraction form
    764.96/1,055.58 = 450.23/x
  3. Step 3: Cross multiply
    764.96x = 1,055.58 × 450.23
  4. Step 4: Simplify right side
    764.96x = 475,253.78
  5. Step 5: Solve for x
    x = 475,253.78/764.96
  6. Step 6: Final answer
    x = 621.28

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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.