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Finding the Fourth Proportional to 883.13, 1,218.71 and 533.81

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Solution

The fourth proportional to 883.13, 1,218.71 and 533.81 is: 736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.13 : 1,218.71 = 533.81 : x
  2. Step 2: Convert to fraction form
    883.13/1,218.71 = 533.81/x
  3. Step 3: Cross multiply
    883.13x = 1,218.71 × 533.81
  4. Step 4: Simplify right side
    883.13x = 650,563.97
  5. Step 5: Solve for x
    x = 650,563.97/883.13
  6. Step 6: Final answer
    x = 736.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.