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Finding the Fourth Proportional to 764.00, 1,143.45 and 695.68

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Solution

The fourth proportional to 764.00, 1,143.45 and 695.68 is: 1,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.00 : 1,143.45 = 695.68 : x
  2. Step 2: Convert to fraction form
    764.00/1,143.45 = 695.68/x
  3. Step 3: Cross multiply
    764.00x = 1,143.45 × 695.68
  4. Step 4: Simplify right side
    764.00x = 795,472.44
  5. Step 5: Solve for x
    x = 795,472.44/764.00
  6. Step 6: Final answer
    x = 1,041.20

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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.