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Finding the Fourth Proportional to 883.26, 1,323.47 and 518.36

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Solution

The fourth proportional to 883.26, 1,323.47 and 518.36 is: 776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.26 : 1,323.47 = 518.36 : x
  2. Step 2: Convert to fraction form
    883.26/1,323.47 = 518.36/x
  3. Step 3: Cross multiply
    883.26x = 1,323.47 × 518.36
  4. Step 4: Simplify right side
    883.26x = 686,024.70
  5. Step 5: Solve for x
    x = 686,024.70/883.26
  6. Step 6: Final answer
    x = 776.70

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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.