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Finding the Fourth Proportional to 766.45, 1,057.74 and 451.66

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Solution

The fourth proportional to 766.45, 1,057.74 and 451.66 is: 623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.45 : 1,057.74 = 451.66 : x
  2. Step 2: Convert to fraction form
    766.45/1,057.74 = 451.66/x
  3. Step 3: Cross multiply
    766.45x = 1,057.74 × 451.66
  4. Step 4: Simplify right side
    766.45x = 477,738.85
  5. Step 5: Solve for x
    x = 477,738.85/766.45
  6. Step 6: Final answer
    x = 623.31

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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.