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Finding the Fourth Proportional to 1,329.06, 1,992.81 and 507.39

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Solution

The fourth proportional to 1,329.06, 1,992.81 and 507.39 is: 760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.06 : 1,992.81 = 507.39 : x
  2. Step 2: Convert to fraction form
    1,329.06/1,992.81 = 507.39/x
  3. Step 3: Cross multiply
    1,329.06x = 1,992.81 × 507.39
  4. Step 4: Simplify right side
    1,329.06x = 1,011,131.87
  5. Step 5: Solve for x
    x = 1,011,131.87/1,329.06
  6. Step 6: Final answer
    x = 760.79

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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.