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Finding the Fourth Proportional to 808.85, 1,205.21 and 774.63

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Solution

The fourth proportional to 808.85, 1,205.21 and 774.63 is: 1,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.85 : 1,205.21 = 774.63 : x
  2. Step 2: Convert to fraction form
    808.85/1,205.21 = 774.63/x
  3. Step 3: Cross multiply
    808.85x = 1,205.21 × 774.63
  4. Step 4: Simplify right side
    808.85x = 933,593.76
  5. Step 5: Solve for x
    x = 933,593.76/808.85
  6. Step 6: Final answer
    x = 1,154.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.