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Finding the Fourth Proportional to 764.91, 1,140.01 and 763.70

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Solution

The fourth proportional to 764.91, 1,140.01 and 763.70 is: 1,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.91 : 1,140.01 = 763.70 : x
  2. Step 2: Convert to fraction form
    764.91/1,140.01 = 763.70/x
  3. Step 3: Cross multiply
    764.91x = 1,140.01 × 763.70
  4. Step 4: Simplify right side
    764.91x = 870,618.03
  5. Step 5: Solve for x
    x = 870,618.03/764.91
  6. Step 6: Final answer
    x = 1,138.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.