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Finding the Fourth Proportional to 764.51, 1,143.26 and 569.64

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Solution

The fourth proportional to 764.51, 1,143.26 and 569.64 is: 851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.51 : 1,143.26 = 569.64 : x
  2. Step 2: Convert to fraction form
    764.51/1,143.26 = 569.64/x
  3. Step 3: Cross multiply
    764.51x = 1,143.26 × 569.64
  4. Step 4: Simplify right side
    764.51x = 651,249.00
  5. Step 5: Solve for x
    x = 651,249.00/764.51
  6. Step 6: Final answer
    x = 851.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.