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Finding the Fourth Proportional to 883.32, 1,323.90 and 518.37

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Solution

The fourth proportional to 883.32, 1,323.90 and 518.37 is: 776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.32 : 1,323.90 = 518.37 : x
  2. Step 2: Convert to fraction form
    883.32/1,323.90 = 518.37/x
  3. Step 3: Cross multiply
    883.32x = 1,323.90 × 518.37
  4. Step 4: Simplify right side
    883.32x = 686,270.04
  5. Step 5: Solve for x
    x = 686,270.04/883.32
  6. Step 6: Final answer
    x = 776.92

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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.