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Finding the Fourth Proportional to 766.38, 1,057.70 and 455.88

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Solution

The fourth proportional to 766.38, 1,057.70 and 455.88 is: 629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.38 : 1,057.70 = 455.88 : x
  2. Step 2: Convert to fraction form
    766.38/1,057.70 = 455.88/x
  3. Step 3: Cross multiply
    766.38x = 1,057.70 × 455.88
  4. Step 4: Simplify right side
    766.38x = 482,184.28
  5. Step 5: Solve for x
    x = 482,184.28/766.38
  6. Step 6: Final answer
    x = 629.17

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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.