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Finding the Fourth Proportional to 766.71, 1,057.59 and 668.70

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Solution

The fourth proportional to 766.71, 1,057.59 and 668.70 is: 922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.71 : 1,057.59 = 668.70 : x
  2. Step 2: Convert to fraction form
    766.71/1,057.59 = 668.70/x
  3. Step 3: Cross multiply
    766.71x = 1,057.59 × 668.70
  4. Step 4: Simplify right side
    766.71x = 707,210.43
  5. Step 5: Solve for x
    x = 707,210.43/766.71
  6. Step 6: Final answer
    x = 922.40

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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.