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Finding the Fourth Proportional to 808.71, 1,115.55 and 547.08

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Solution

The fourth proportional to 808.71, 1,115.55 and 547.08 is: 754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.71 : 1,115.55 = 547.08 : x
  2. Step 2: Convert to fraction form
    808.71/1,115.55 = 547.08/x
  3. Step 3: Cross multiply
    808.71x = 1,115.55 × 547.08
  4. Step 4: Simplify right side
    808.71x = 610,295.09
  5. Step 5: Solve for x
    x = 610,295.09/808.71
  6. Step 6: Final answer
    x = 754.65

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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.