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Finding the Fourth Proportional to 808.73, 1,116.81 and 778.64

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Solution

The fourth proportional to 808.73, 1,116.81 and 778.64 is: 1,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.73 : 1,116.81 = 778.64 : x
  2. Step 2: Convert to fraction form
    808.73/1,116.81 = 778.64/x
  3. Step 3: Cross multiply
    808.73x = 1,116.81 × 778.64
  4. Step 4: Simplify right side
    808.73x = 869,592.94
  5. Step 5: Solve for x
    x = 869,592.94/808.73
  6. Step 6: Final answer
    x = 1,075.26

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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.