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Finding the Fourth Proportional to 613.84, 920.44 and 289.12

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Solution

The fourth proportional to 613.84, 920.44 and 289.12 is: 433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.84 : 920.44 = 289.12 : x
  2. Step 2: Convert to fraction form
    613.84/920.44 = 289.12/x
  3. Step 3: Cross multiply
    613.84x = 920.44 × 289.12
  4. Step 4: Simplify right side
    613.84x = 266,117.61
  5. Step 5: Solve for x
    x = 266,117.61/613.84
  6. Step 6: Final answer
    x = 433.53

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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.