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Finding the Fourth Proportional to 768.69, 1,153.04 and 439.83

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Solution

The fourth proportional to 768.69, 1,153.04 and 439.83 is: 659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.69 : 1,153.04 = 439.83 : x
  2. Step 2: Convert to fraction form
    768.69/1,153.04 = 439.83/x
  3. Step 3: Cross multiply
    768.69x = 1,153.04 × 439.83
  4. Step 4: Simplify right side
    768.69x = 507,139.38
  5. Step 5: Solve for x
    x = 507,139.38/768.69
  6. Step 6: Final answer
    x = 659.75

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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.