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Finding the Fourth Proportional to 766.93, 1,057.75 and 501.36

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Solution

The fourth proportional to 766.93, 1,057.75 and 501.36 is: 691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.93 : 1,057.75 = 501.36 : x
  2. Step 2: Convert to fraction form
    766.93/1,057.75 = 501.36/x
  3. Step 3: Cross multiply
    766.93x = 1,057.75 × 501.36
  4. Step 4: Simplify right side
    766.93x = 530,313.54
  5. Step 5: Solve for x
    x = 530,313.54/766.93
  6. Step 6: Final answer
    x = 691.48

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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.