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Finding the Fourth Proportional to 808.26, 1,115.86 and 543.08

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Solution

The fourth proportional to 808.26, 1,115.86 and 543.08 is: 749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.26 : 1,115.86 = 543.08 : x
  2. Step 2: Convert to fraction form
    808.26/1,115.86 = 543.08/x
  3. Step 3: Cross multiply
    808.26x = 1,115.86 × 543.08
  4. Step 4: Simplify right side
    808.26x = 606,001.25
  5. Step 5: Solve for x
    x = 606,001.25/808.26
  6. Step 6: Final answer
    x = 749.76

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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.