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Finding the Fourth Proportional to 766.84, 1,057.26 and 580.60

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Solution

The fourth proportional to 766.84, 1,057.26 and 580.60 is: 800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.84 : 1,057.26 = 580.60 : x
  2. Step 2: Convert to fraction form
    766.84/1,057.26 = 580.60/x
  3. Step 3: Cross multiply
    766.84x = 1,057.26 × 580.60
  4. Step 4: Simplify right side
    766.84x = 613,845.16
  5. Step 5: Solve for x
    x = 613,845.16/766.84
  6. Step 6: Final answer
    x = 800.49

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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.