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Finding the Fourth Proportional to 613.99, 921.39 and 289.39

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Solution

The fourth proportional to 613.99, 921.39 and 289.39 is: 434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.99 : 921.39 = 289.39 : x
  2. Step 2: Convert to fraction form
    613.99/921.39 = 289.39/x
  3. Step 3: Cross multiply
    613.99x = 921.39 × 289.39
  4. Step 4: Simplify right side
    613.99x = 266,635.91
  5. Step 5: Solve for x
    x = 266,635.91/613.99
  6. Step 6: Final answer
    x = 434.27

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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.