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Finding the Fourth Proportional to 816.29, 1,127 and 537.02

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Solution

The fourth proportional to 816.29, 1,127 and 537.02 is: 741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.29 : 1,127 = 537.02 : x
  2. Step 2: Convert to fraction form
    816.29/1,127 = 537.02/x
  3. Step 3: Cross multiply
    816.29x = 1,127 × 537.02
  4. Step 4: Simplify right side
    816.29x = 605,221.54
  5. Step 5: Solve for x
    x = 605,221.54/816.29
  6. Step 6: Final answer
    x = 741.43

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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.