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Finding the Fourth Proportional to 809.37, 1,116.51 and 514.33

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Solution

The fourth proportional to 809.37, 1,116.51 and 514.33 is: 709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.37 : 1,116.51 = 514.33 : x
  2. Step 2: Convert to fraction form
    809.37/1,116.51 = 514.33/x
  3. Step 3: Cross multiply
    809.37x = 1,116.51 × 514.33
  4. Step 4: Simplify right side
    809.37x = 574,254.59
  5. Step 5: Solve for x
    x = 574,254.59/809.37
  6. Step 6: Final answer
    x = 709.51

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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.