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Finding the Fourth Proportional to 809.79, 1,206.57 and 774.39

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Solution

The fourth proportional to 809.79, 1,206.57 and 774.39 is: 1,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.79 : 1,206.57 = 774.39 : x
  2. Step 2: Convert to fraction form
    809.79/1,206.57 = 774.39/x
  3. Step 3: Cross multiply
    809.79x = 1,206.57 × 774.39
  4. Step 4: Simplify right side
    809.79x = 934,355.74
  5. Step 5: Solve for x
    x = 934,355.74/809.79
  6. Step 6: Final answer
    x = 1,153.82

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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.