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Finding the Fourth Proportional to 766.01, 1,055.86 and 517.25

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Solution

The fourth proportional to 766.01, 1,055.86 and 517.25 is: 712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.01 : 1,055.86 = 517.25 : x
  2. Step 2: Convert to fraction form
    766.01/1,055.86 = 517.25/x
  3. Step 3: Cross multiply
    766.01x = 1,055.86 × 517.25
  4. Step 4: Simplify right side
    766.01x = 546,137.01
  5. Step 5: Solve for x
    x = 546,137.01/766.01
  6. Step 6: Final answer
    x = 712.97

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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.