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Finding the Fourth Proportional to 768.57, 1,155.29 and 661.65

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Solution

The fourth proportional to 768.57, 1,155.29 and 661.65 is: 994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.57 : 1,155.29 = 661.65 : x
  2. Step 2: Convert to fraction form
    768.57/1,155.29 = 661.65/x
  3. Step 3: Cross multiply
    768.57x = 1,155.29 × 661.65
  4. Step 4: Simplify right side
    768.57x = 764,394.32
  5. Step 5: Solve for x
    x = 764,394.32/768.57
  6. Step 6: Final answer
    x = 994.57

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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.