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Finding the Fourth Proportional to 613.83, 920.79 and 289.11

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Solution

The fourth proportional to 613.83, 920.79 and 289.11 is: 433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.83 : 920.79 = 289.11 : x
  2. Step 2: Convert to fraction form
    613.83/920.79 = 289.11/x
  3. Step 3: Cross multiply
    613.83x = 920.79 × 289.11
  4. Step 4: Simplify right side
    613.83x = 266,209.60
  5. Step 5: Solve for x
    x = 266,209.60/613.83
  6. Step 6: Final answer
    x = 433.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.